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Finding the Third Proportional to 57,017 and 88,500

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Solution

The third proportional to 57,017 and 88,500 is: 137,366.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,017 : 88,500 = 88,500 : x
  2. Step 2: Convert to fraction form
    57,017/88,500 = 88,500/x
  3. Step 3: Cross multiply
    57,017x = 88,500 × 88,500
  4. Step 4: Simplify right side
    57,017x = 7,832,250,000
  5. Step 5: Solve for x
    x = 7,832,250,000/57,017
  6. Step 6: Final answer
    x = 137,366.93

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