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Finding the Third Proportional to 57,522 and 88,380

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Solution

The third proportional to 57,522 and 88,380 is: 135,791.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,522 : 88,380 = 88,380 : x
  2. Step 2: Convert to fraction form
    57,522/88,380 = 88,380/x
  3. Step 3: Cross multiply
    57,522x = 88,380 × 88,380
  4. Step 4: Simplify right side
    57,522x = 7,811,024,400
  5. Step 5: Solve for x
    x = 7,811,024,400/57,522
  6. Step 6: Final answer
    x = 135,791.95

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Why These Related Problems?

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