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Finding the Third Proportional to 73,291 and 156,949

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Solution

The third proportional to 73,291 and 156,949 is: 336,098.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,291 : 156,949 = 156,949 : x
  2. Step 2: Convert to fraction form
    73,291/156,949 = 156,949/x
  3. Step 3: Cross multiply
    73,291x = 156,949 × 156,949
  4. Step 4: Simplify right side
    73,291x = 24,632,988,601
  5. Step 5: Solve for x
    x = 24,632,988,601/73,291
  6. Step 6: Final answer
    x = 336,098.41

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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.