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Finding the Third Proportional to 57,844 and 125,948

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Solution

The third proportional to 57,844 and 125,948 is: 274,235.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,844 : 125,948 = 125,948 : x
  2. Step 2: Convert to fraction form
    57,844/125,948 = 125,948/x
  3. Step 3: Cross multiply
    57,844x = 125,948 × 125,948
  4. Step 4: Simplify right side
    57,844x = 15,862,898,704
  5. Step 5: Solve for x
    x = 15,862,898,704/57,844
  6. Step 6: Final answer
    x = 274,235.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.