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Finding the Third Proportional to 57,216 and 87,525

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Solution

The third proportional to 57,216 and 87,525 is: 133,889.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,216 : 87,525 = 87,525 : x
  2. Step 2: Convert to fraction form
    57,216/87,525 = 87,525/x
  3. Step 3: Cross multiply
    57,216x = 87,525 × 87,525
  4. Step 4: Simplify right side
    57,216x = 7,660,625,625
  5. Step 5: Solve for x
    x = 7,660,625,625/57,216
  6. Step 6: Final answer
    x = 133,889.57

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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.