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Finding the Third Proportional to 57,285.14 and 125,854.59

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Solution

The third proportional to 57,285.14 and 125,854.59 is: 276,500.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,285.14 : 125,854.59 = 125,854.59 : x
  2. Step 2: Convert to fraction form
    57,285.14/125,854.59 = 125,854.59/x
  3. Step 3: Cross multiply
    57,285.14x = 125,854.59 × 125,854.59
  4. Step 4: Simplify right side
    57,285.14x = 15,839,378,767.98
  5. Step 5: Solve for x
    x = 15,839,378,767.98/57,285.14
  6. Step 6: Final answer
    x = 276,500.65

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.