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Finding the Third Proportional to 55,432 and 98,551

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Solution

The third proportional to 55,432 and 98,551 is: 175,211.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,432 : 98,551 = 98,551 : x
  2. Step 2: Convert to fraction form
    55,432/98,551 = 98,551/x
  3. Step 3: Cross multiply
    55,432x = 98,551 × 98,551
  4. Step 4: Simplify right side
    55,432x = 9,712,299,601
  5. Step 5: Solve for x
    x = 9,712,299,601/55,432
  6. Step 6: Final answer
    x = 175,211.06

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.