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Finding the Third Proportional to 126,983 and 278,887

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Solution

The third proportional to 126,983 and 278,887 is: 612,506.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,983 : 278,887 = 278,887 : x
  2. Step 2: Convert to fraction form
    126,983/278,887 = 278,887/x
  3. Step 3: Cross multiply
    126,983x = 278,887 × 278,887
  4. Step 4: Simplify right side
    126,983x = 77,777,958,769
  5. Step 5: Solve for x
    x = 77,777,958,769/126,983
  6. Step 6: Final answer
    x = 612,506.86

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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.