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Finding the Third Proportional to 62,354.25 and 129,143.25

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Solution

The third proportional to 62,354.25 and 129,143.25 is: 267,471.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,354.25 : 129,143.25 = 129,143.25 : x
  2. Step 2: Convert to fraction form
    62,354.25/129,143.25 = 129,143.25/x
  3. Step 3: Cross multiply
    62,354.25x = 129,143.25 × 129,143.25
  4. Step 4: Simplify right side
    62,354.25x = 16,677,979,020.56
  5. Step 5: Solve for x
    x = 16,677,979,020.56/62,354.25
  6. Step 6: Final answer
    x = 267,471.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.