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Finding the Third Proportional to 129,057.38 and 276,792.75

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Solution

The third proportional to 129,057.38 and 276,792.75 is: 593,644.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,057.38 : 276,792.75 = 276,792.75 : x
  2. Step 2: Convert to fraction form
    129,057.38/276,792.75 = 276,792.75/x
  3. Step 3: Cross multiply
    129,057.38x = 276,792.75 × 276,792.75
  4. Step 4: Simplify right side
    129,057.38x = 76,614,226,452.56
  5. Step 5: Solve for x
    x = 76,614,226,452.56/129,057.38
  6. Step 6: Final answer
    x = 593,644.70

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.