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Finding the Third Proportional to 61,841.25 and 132,428.25

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Solution

The third proportional to 61,841.25 and 132,428.25 is: 283,584.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,841.25 : 132,428.25 = 132,428.25 : x
  2. Step 2: Convert to fraction form
    61,841.25/132,428.25 = 132,428.25/x
  3. Step 3: Cross multiply
    61,841.25x = 132,428.25 × 132,428.25
  4. Step 4: Simplify right side
    61,841.25x = 17,537,241,398.06
  5. Step 5: Solve for x
    x = 17,537,241,398.06/61,841.25
  6. Step 6: Final answer
    x = 283,584.85

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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.