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Finding the Third Proportional to 126,742 and 278,270

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Solution

The third proportional to 126,742 and 278,270 is: 610,959.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,742 : 278,270 = 278,270 : x
  2. Step 2: Convert to fraction form
    126,742/278,270 = 278,270/x
  3. Step 3: Cross multiply
    126,742x = 278,270 × 278,270
  4. Step 4: Simplify right side
    126,742x = 77,434,192,900
  5. Step 5: Solve for x
    x = 77,434,192,900/126,742
  6. Step 6: Final answer
    x = 610,959.22

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.