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Finding the Third Proportional to 63,912 and 93,897

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Solution

The third proportional to 63,912 and 93,897 is: 137,949.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,912 : 93,897 = 93,897 : x
  2. Step 2: Convert to fraction form
    63,912/93,897 = 93,897/x
  3. Step 3: Cross multiply
    63,912x = 93,897 × 93,897
  4. Step 4: Simplify right side
    63,912x = 8,816,646,609
  5. Step 5: Solve for x
    x = 8,816,646,609/63,912
  6. Step 6: Final answer
    x = 137,949.78

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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.