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Finding the Third Proportional to 73,691 and 157,897

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Solution

The third proportional to 73,691 and 157,897 is: 338,324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,691 : 157,897 = 157,897 : x
  2. Step 2: Convert to fraction form
    73,691/157,897 = 157,897/x
  3. Step 3: Cross multiply
    73,691x = 157,897 × 157,897
  4. Step 4: Simplify right side
    73,691x = 24,931,462,609
  5. Step 5: Solve for x
    x = 24,931,462,609/73,691
  6. Step 6: Final answer
    x = 338,324.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.