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Finding the Third Proportional to 73,044 and 159,327

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Solution

The third proportional to 73,044 and 159,327 is: 347,531.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,044 : 159,327 = 159,327 : x
  2. Step 2: Convert to fraction form
    73,044/159,327 = 159,327/x
  3. Step 3: Cross multiply
    73,044x = 159,327 × 159,327
  4. Step 4: Simplify right side
    73,044x = 25,385,092,929
  5. Step 5: Solve for x
    x = 25,385,092,929/73,044
  6. Step 6: Final answer
    x = 347,531.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.