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Finding the Third Proportional to 57,723 and 88,665

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Solution

The third proportional to 57,723 and 88,665 is: 136,193.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,723 : 88,665 = 88,665 : x
  2. Step 2: Convert to fraction form
    57,723/88,665 = 88,665/x
  3. Step 3: Cross multiply
    57,723x = 88,665 × 88,665
  4. Step 4: Simplify right side
    57,723x = 7,861,482,225
  5. Step 5: Solve for x
    x = 7,861,482,225/57,723
  6. Step 6: Final answer
    x = 136,193.24

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.