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Finding the Third Proportional to 44,098 and 68,301

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Solution

The third proportional to 44,098 and 68,301 is: 105,787.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,098 : 68,301 = 68,301 : x
  2. Step 2: Convert to fraction form
    44,098/68,301 = 68,301/x
  3. Step 3: Cross multiply
    44,098x = 68,301 × 68,301
  4. Step 4: Simplify right side
    44,098x = 4,665,026,601
  5. Step 5: Solve for x
    x = 4,665,026,601/44,098
  6. Step 6: Final answer
    x = 105,787.71

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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.