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Finding the Third Proportional to 61,815 and 132,381

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Solution

The third proportional to 61,815 and 132,381 is: 283,502.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,815 : 132,381 = 132,381 : x
  2. Step 2: Convert to fraction form
    61,815/132,381 = 132,381/x
  3. Step 3: Cross multiply
    61,815x = 132,381 × 132,381
  4. Step 4: Simplify right side
    61,815x = 17,524,729,161
  5. Step 5: Solve for x
    x = 17,524,729,161/61,815
  6. Step 6: Final answer
    x = 283,502.86

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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.