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Finding the Third Proportional to 126,608 and 187,960

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Solution

The third proportional to 126,608 and 187,960 is: 279,042.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,608 : 187,960 = 187,960 : x
  2. Step 2: Convert to fraction form
    126,608/187,960 = 187,960/x
  3. Step 3: Cross multiply
    126,608x = 187,960 × 187,960
  4. Step 4: Simplify right side
    126,608x = 35,328,961,600
  5. Step 5: Solve for x
    x = 35,328,961,600/126,608
  6. Step 6: Final answer
    x = 279,042.10

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.