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Finding the Third Proportional to 75,898 and 111,387

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Solution

The third proportional to 75,898 and 111,387 is: 163,470.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,898 : 111,387 = 111,387 : x
  2. Step 2: Convert to fraction form
    75,898/111,387 = 111,387/x
  3. Step 3: Cross multiply
    75,898x = 111,387 × 111,387
  4. Step 4: Simplify right side
    75,898x = 12,407,063,769
  5. Step 5: Solve for x
    x = 12,407,063,769/75,898
  6. Step 6: Final answer
    x = 163,470.23

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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.