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Finding the Third Proportional to 57,944 and 125,716

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Solution

The third proportional to 57,944 and 125,716 is: 272,754.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,944 : 125,716 = 125,716 : x
  2. Step 2: Convert to fraction form
    57,944/125,716 = 125,716/x
  3. Step 3: Cross multiply
    57,944x = 125,716 × 125,716
  4. Step 4: Simplify right side
    57,944x = 15,804,512,656
  5. Step 5: Solve for x
    x = 15,804,512,656/57,944
  6. Step 6: Final answer
    x = 272,754.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.