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Finding the Third Proportional to 80,749.13 and 123,948.56

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Solution

The third proportional to 80,749.13 and 123,948.56 is: 190,258.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,749.13 : 123,948.56 = 123,948.56 : x
  2. Step 2: Convert to fraction form
    80,749.13/123,948.56 = 123,948.56/x
  3. Step 3: Cross multiply
    80,749.13x = 123,948.56 × 123,948.56
  4. Step 4: Simplify right side
    80,749.13x = 15,363,246,145.82
  5. Step 5: Solve for x
    x = 15,363,246,145.82/80,749.13
  6. Step 6: Final answer
    x = 190,258.98

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.