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Finding the Third Proportional to 57,234 and 88,620

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Solution

The third proportional to 57,234 and 88,620 is: 137,217.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,234 : 88,620 = 88,620 : x
  2. Step 2: Convert to fraction form
    57,234/88,620 = 88,620/x
  3. Step 3: Cross multiply
    57,234x = 88,620 × 88,620
  4. Step 4: Simplify right side
    57,234x = 7,853,504,400
  5. Step 5: Solve for x
    x = 7,853,504,400/57,234
  6. Step 6: Final answer
    x = 137,217.47

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Why These Related Problems?

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