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Finding the Third Proportional to 62,105.25 and 134,713.50

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Solution

The third proportional to 62,105.25 and 134,713.50 is: 292,209.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,105.25 : 134,713.50 = 134,713.50 : x
  2. Step 2: Convert to fraction form
    62,105.25/134,713.50 = 134,713.50/x
  3. Step 3: Cross multiply
    62,105.25x = 134,713.50 × 134,713.50
  4. Step 4: Simplify right side
    62,105.25x = 18,147,727,082.25
  5. Step 5: Solve for x
    x = 18,147,727,082.25/62,105.25
  6. Step 6: Final answer
    x = 292,209.23

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.