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Finding the Third Proportional to 57,300 and 88,542

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Solution

The third proportional to 57,300 and 88,542 is: 136,818.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,300 : 88,542 = 88,542 : x
  2. Step 2: Convert to fraction form
    57,300/88,542 = 88,542/x
  3. Step 3: Cross multiply
    57,300x = 88,542 × 88,542
  4. Step 4: Simplify right side
    57,300x = 7,839,685,764
  5. Step 5: Solve for x
    x = 7,839,685,764/57,300
  6. Step 6: Final answer
    x = 136,818.25

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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.