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Finding the Third Proportional to 100,741 and 148,327

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Solution

The third proportional to 100,741 and 148,327 is: 218,390.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,741 : 148,327 = 148,327 : x
  2. Step 2: Convert to fraction form
    100,741/148,327 = 148,327/x
  3. Step 3: Cross multiply
    100,741x = 148,327 × 148,327
  4. Step 4: Simplify right side
    100,741x = 22,000,898,929
  5. Step 5: Solve for x
    x = 22,000,898,929/100,741
  6. Step 6: Final answer
    x = 218,390.71

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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.