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Finding the Third Proportional to 62,897 and 93,487

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Solution

The third proportional to 62,897 and 93,487 is: 138,954.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,897 : 93,487 = 93,487 : x
  2. Step 2: Convert to fraction form
    62,897/93,487 = 93,487/x
  3. Step 3: Cross multiply
    62,897x = 93,487 × 93,487
  4. Step 4: Simplify right side
    62,897x = 8,739,819,169
  5. Step 5: Solve for x
    x = 8,739,819,169/62,897
  6. Step 6: Final answer
    x = 138,954.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.