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Finding the Third Proportional to 61,296.50 and 132,269.38

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Solution

The third proportional to 61,296.50 and 132,269.38 is: 285,419.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,296.50 : 132,269.38 = 132,269.38 : x
  2. Step 2: Convert to fraction form
    61,296.50/132,269.38 = 132,269.38/x
  3. Step 3: Cross multiply
    61,296.50x = 132,269.38 × 132,269.38
  4. Step 4: Simplify right side
    61,296.50x = 17,495,187,562.89
  5. Step 5: Solve for x
    x = 17,495,187,562.89/61,296.50
  6. Step 6: Final answer
    x = 285,419.03

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.