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Finding the Third Proportional to 126,738 and 274,386

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Solution

The third proportional to 126,738 and 274,386 is: 594,041.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,738 : 274,386 = 274,386 : x
  2. Step 2: Convert to fraction form
    126,738/274,386 = 274,386/x
  3. Step 3: Cross multiply
    126,738x = 274,386 × 274,386
  4. Step 4: Simplify right side
    126,738x = 75,287,676,996
  5. Step 5: Solve for x
    x = 75,287,676,996/126,738
  6. Step 6: Final answer
    x = 594,041.86

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