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Finding the Third Proportional to 135,747 and 283,887

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Solution

The third proportional to 135,747 and 283,887 is: 593,691.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,747 : 283,887 = 283,887 : x
  2. Step 2: Convert to fraction form
    135,747/283,887 = 283,887/x
  3. Step 3: Cross multiply
    135,747x = 283,887 × 283,887
  4. Step 4: Simplify right side
    135,747x = 80,591,828,769
  5. Step 5: Solve for x
    x = 80,591,828,769/135,747
  6. Step 6: Final answer
    x = 593,691.42

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.