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Finding the Third Proportional to 57,572 and 87,252

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Solution

The third proportional to 57,572 and 87,252 is: 132,232.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,572 : 87,252 = 87,252 : x
  2. Step 2: Convert to fraction form
    57,572/87,252 = 87,252/x
  3. Step 3: Cross multiply
    57,572x = 87,252 × 87,252
  4. Step 4: Simplify right side
    57,572x = 7,612,911,504
  5. Step 5: Solve for x
    x = 7,612,911,504/57,572
  6. Step 6: Final answer
    x = 132,232.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.