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Finding the Third Proportional to 63,540 and 93,339

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Solution

The third proportional to 63,540 and 93,339 is: 137,113.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,540 : 93,339 = 93,339 : x
  2. Step 2: Convert to fraction form
    63,540/93,339 = 93,339/x
  3. Step 3: Cross multiply
    63,540x = 93,339 × 93,339
  4. Step 4: Simplify right side
    63,540x = 8,712,168,921
  5. Step 5: Solve for x
    x = 8,712,168,921/63,540
  6. Step 6: Final answer
    x = 137,113.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.