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Finding the Third Proportional to 41,415 and 89,387

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Solution

The third proportional to 41,415 and 89,387 is: 192,926.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,415 : 89,387 = 89,387 : x
  2. Step 2: Convert to fraction form
    41,415/89,387 = 89,387/x
  3. Step 3: Cross multiply
    41,415x = 89,387 × 89,387
  4. Step 4: Simplify right side
    41,415x = 7,990,035,769
  5. Step 5: Solve for x
    x = 7,990,035,769/41,415
  6. Step 6: Final answer
    x = 192,926.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.