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Finding the Third Proportional to 57,204 and 87,508

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Solution

The third proportional to 57,204 and 87,508 is: 133,865.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,204 : 87,508 = 87,508 : x
  2. Step 2: Convert to fraction form
    57,204/87,508 = 87,508/x
  3. Step 3: Cross multiply
    57,204x = 87,508 × 87,508
  4. Step 4: Simplify right side
    57,204x = 7,657,650,064
  5. Step 5: Solve for x
    x = 7,657,650,064/57,204
  6. Step 6: Final answer
    x = 133,865.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.