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Finding the Third Proportional to 61,841 and 132,427

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Solution

The third proportional to 61,841 and 132,427 is: 283,580.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,841 : 132,427 = 132,427 : x
  2. Step 2: Convert to fraction form
    61,841/132,427 = 132,427/x
  3. Step 3: Cross multiply
    61,841x = 132,427 × 132,427
  4. Step 4: Simplify right side
    61,841x = 17,536,910,329
  5. Step 5: Solve for x
    x = 17,536,910,329/61,841
  6. Step 6: Final answer
    x = 283,580.64

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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.