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Finding the Third Proportional to 129,926.11 and 194,359.50

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Solution

The third proportional to 129,926.11 and 194,359.50 is: 290,746.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,926.11 : 194,359.50 = 194,359.50 : x
  2. Step 2: Convert to fraction form
    129,926.11/194,359.50 = 194,359.50/x
  3. Step 3: Cross multiply
    129,926.11x = 194,359.50 × 194,359.50
  4. Step 4: Simplify right side
    129,926.11x = 37,775,615,240.25
  5. Step 5: Solve for x
    x = 37,775,615,240.25/129,926.11
  6. Step 6: Final answer
    x = 290,746.91

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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.