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Finding the Third Proportional to 57,810 and 126,098

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Solution

The third proportional to 57,810 and 126,098 is: 275,051.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,810 : 126,098 = 126,098 : x
  2. Step 2: Convert to fraction form
    57,810/126,098 = 126,098/x
  3. Step 3: Cross multiply
    57,810x = 126,098 × 126,098
  4. Step 4: Simplify right side
    57,810x = 15,900,705,604
  5. Step 5: Solve for x
    x = 15,900,705,604/57,810
  6. Step 6: Final answer
    x = 275,051.13

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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.