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Finding the Third Proportional to 129,873.75 and 194,288.06

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Solution

The third proportional to 129,873.75 and 194,288.06 is: 290,650.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,873.75 : 194,288.06 = 194,288.06 : x
  2. Step 2: Convert to fraction form
    129,873.75/194,288.06 = 194,288.06/x
  3. Step 3: Cross multiply
    129,873.75x = 194,288.06 × 194,288.06
  4. Step 4: Simplify right side
    129,873.75x = 37,747,851,230.00
  5. Step 5: Solve for x
    x = 37,747,851,230.00/129,873.75
  6. Step 6: Final answer
    x = 290,650.35

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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.