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Finding the Third Proportional to 129,730.50 and 194,595.75

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Solution

The third proportional to 129,730.50 and 194,595.75 is: 291,893.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,730.50 : 194,595.75 = 194,595.75 : x
  2. Step 2: Convert to fraction form
    129,730.50/194,595.75 = 194,595.75/x
  3. Step 3: Cross multiply
    129,730.50x = 194,595.75 × 194,595.75
  4. Step 4: Simplify right side
    129,730.50x = 37,867,505,918.06
  5. Step 5: Solve for x
    x = 37,867,505,918.06/129,730.50
  6. Step 6: Final answer
    x = 291,893.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.