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Finding the Third Proportional to 57,413 and 126,142

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Solution

The third proportional to 57,413 and 126,142 is: 277,146.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,413 : 126,142 = 126,142 : x
  2. Step 2: Convert to fraction form
    57,413/126,142 = 126,142/x
  3. Step 3: Cross multiply
    57,413x = 126,142 × 126,142
  4. Step 4: Simplify right side
    57,413x = 15,911,804,164
  5. Step 5: Solve for x
    x = 15,911,804,164/57,413
  6. Step 6: Final answer
    x = 277,146.36

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Why These Related Problems?

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