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Finding the Third Proportional to 61,812 and 132,375

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Solution

The third proportional to 61,812 and 132,375 is: 283,490.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,812 : 132,375 = 132,375 : x
  2. Step 2: Convert to fraction form
    61,812/132,375 = 132,375/x
  3. Step 3: Cross multiply
    61,812x = 132,375 × 132,375
  4. Step 4: Simplify right side
    61,812x = 17,523,140,625
  5. Step 5: Solve for x
    x = 17,523,140,625/61,812
  6. Step 6: Final answer
    x = 283,490.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.