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Finding the Third Proportional to 57,150.56 and 125,342.44

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Solution

The third proportional to 57,150.56 and 125,342.44 is: 274,900.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,150.56 : 125,342.44 = 125,342.44 : x
  2. Step 2: Convert to fraction form
    57,150.56/125,342.44 = 125,342.44/x
  3. Step 3: Cross multiply
    57,150.56x = 125,342.44 × 125,342.44
  4. Step 4: Simplify right side
    57,150.56x = 15,710,726,638.44
  5. Step 5: Solve for x
    x = 15,710,726,638.44/57,150.56
  6. Step 6: Final answer
    x = 274,900.65

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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.