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Finding the Third Proportional to 41,532 and 88,257

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Solution

The third proportional to 41,532 and 88,257 is: 187,549.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,532 : 88,257 = 88,257 : x
  2. Step 2: Convert to fraction form
    41,532/88,257 = 88,257/x
  3. Step 3: Cross multiply
    41,532x = 88,257 × 88,257
  4. Step 4: Simplify right side
    41,532x = 7,789,298,049
  5. Step 5: Solve for x
    x = 7,789,298,049/41,532
  6. Step 6: Final answer
    x = 187,549.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.