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Finding the Third Proportional to 129,082.50 and 279,610

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Solution

The third proportional to 129,082.50 and 279,610 is: 605,672.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,082.50 : 279,610 = 279,610 : x
  2. Step 2: Convert to fraction form
    129,082.50/279,610 = 279,610/x
  3. Step 3: Cross multiply
    129,082.50x = 279,610 × 279,610
  4. Step 4: Simplify right side
    129,082.50x = 78,181,752,100
  5. Step 5: Solve for x
    x = 78,181,752,100/129,082.50
  6. Step 6: Final answer
    x = 605,672.74

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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.