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Finding the Third Proportional to 62,341.31 and 129,117.38

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Solution

The third proportional to 62,341.31 and 129,117.38 is: 267,419.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,341.31 : 129,117.38 = 129,117.38 : x
  2. Step 2: Convert to fraction form
    62,341.31/129,117.38 = 129,117.38/x
  3. Step 3: Cross multiply
    62,341.31x = 129,117.38 × 129,117.38
  4. Step 4: Simplify right side
    62,341.31x = 16,671,296,526.89
  5. Step 5: Solve for x
    x = 16,671,296,526.89/62,341.31
  6. Step 6: Final answer
    x = 267,419.72

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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.