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Finding the Third Proportional to 89,118 and 125,387

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Solution

The third proportional to 89,118 and 125,387 is: 176,416.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,118 : 125,387 = 125,387 : x
  2. Step 2: Convert to fraction form
    89,118/125,387 = 125,387/x
  3. Step 3: Cross multiply
    89,118x = 125,387 × 125,387
  4. Step 4: Simplify right side
    89,118x = 15,721,899,769
  5. Step 5: Solve for x
    x = 15,721,899,769/89,118
  6. Step 6: Final answer
    x = 176,416.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.