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Finding the Third Proportional to 57,960 and 87,596

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Solution

The third proportional to 57,960 and 87,596 is: 132,385.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,960 : 87,596 = 87,596 : x
  2. Step 2: Convert to fraction form
    57,960/87,596 = 87,596/x
  3. Step 3: Cross multiply
    57,960x = 87,596 × 87,596
  4. Step 4: Simplify right side
    57,960x = 7,673,059,216
  5. Step 5: Solve for x
    x = 7,673,059,216/57,960
  6. Step 6: Final answer
    x = 132,385.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.