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Finding the Third Proportional to 57,885 and 126,246

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Solution

The third proportional to 57,885 and 126,246 is: 275,339.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,885 : 126,246 = 126,246 : x
  2. Step 2: Convert to fraction form
    57,885/126,246 = 126,246/x
  3. Step 3: Cross multiply
    57,885x = 126,246 × 126,246
  4. Step 4: Simplify right side
    57,885x = 15,938,052,516
  5. Step 5: Solve for x
    x = 15,938,052,516/57,885
  6. Step 6: Final answer
    x = 275,339.94

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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.