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Finding the Third Proportional to 61,828 and 132,404

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Solution

The third proportional to 61,828 and 132,404 is: 283,541.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,828 : 132,404 = 132,404 : x
  2. Step 2: Convert to fraction form
    61,828/132,404 = 132,404/x
  3. Step 3: Cross multiply
    61,828x = 132,404 × 132,404
  4. Step 4: Simplify right side
    61,828x = 17,530,819,216
  5. Step 5: Solve for x
    x = 17,530,819,216/61,828
  6. Step 6: Final answer
    x = 283,541.75

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