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Finding the Third Proportional to 57,285.56 and 125,642.81

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Solution

The third proportional to 57,285.56 and 125,642.81 is: 275,568.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,285.56 : 125,642.81 = 125,642.81 : x
  2. Step 2: Convert to fraction form
    57,285.56/125,642.81 = 125,642.81/x
  3. Step 3: Cross multiply
    57,285.56x = 125,642.81 × 125,642.81
  4. Step 4: Simplify right side
    57,285.56x = 15,786,116,332.91
  5. Step 5: Solve for x
    x = 15,786,116,332.91/57,285.56
  6. Step 6: Final answer
    x = 275,568.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.