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Finding the Third Proportional to 112,759 and 247,837

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Solution

The third proportional to 112,759 and 247,837 is: 544,729.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,759 : 247,837 = 247,837 : x
  2. Step 2: Convert to fraction form
    112,759/247,837 = 247,837/x
  3. Step 3: Cross multiply
    112,759x = 247,837 × 247,837
  4. Step 4: Simplify right side
    112,759x = 61,423,178,569
  5. Step 5: Solve for x
    x = 61,423,178,569/112,759
  6. Step 6: Final answer
    x = 544,729.72

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Why These Related Problems?

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