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Finding the Third Proportional to 44,138 and 68,387

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Solution

The third proportional to 44,138 and 68,387 is: 105,958.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,138 : 68,387 = 68,387 : x
  2. Step 2: Convert to fraction form
    44,138/68,387 = 68,387/x
  3. Step 3: Cross multiply
    44,138x = 68,387 × 68,387
  4. Step 4: Simplify right side
    44,138x = 4,676,781,769
  5. Step 5: Solve for x
    x = 4,676,781,769/44,138
  6. Step 6: Final answer
    x = 105,958.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.