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Finding the Third Proportional to 58,442 and 126,231

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Solution

The third proportional to 58,442 and 126,231 is: 272,650.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,442 : 126,231 = 126,231 : x
  2. Step 2: Convert to fraction form
    58,442/126,231 = 126,231/x
  3. Step 3: Cross multiply
    58,442x = 126,231 × 126,231
  4. Step 4: Simplify right side
    58,442x = 15,934,265,361
  5. Step 5: Solve for x
    x = 15,934,265,361/58,442
  6. Step 6: Final answer
    x = 272,650.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.