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Finding the Third Proportional to 52,296.38 and 83,107.13

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Solution

The third proportional to 52,296.38 and 83,107.13 is: 132,070.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,296.38 : 83,107.13 = 83,107.13 : x
  2. Step 2: Convert to fraction form
    52,296.38/83,107.13 = 83,107.13/x
  3. Step 3: Cross multiply
    52,296.38x = 83,107.13 × 83,107.13
  4. Step 4: Simplify right side
    52,296.38x = 6,906,794,225.77
  5. Step 5: Solve for x
    x = 6,906,794,225.77/52,296.38
  6. Step 6: Final answer
    x = 132,070.23

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.