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Finding the Third Proportional to 112,866 and 168,747

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Solution

The third proportional to 112,866 and 168,747 is: 252,295.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,866 : 168,747 = 168,747 : x
  2. Step 2: Convert to fraction form
    112,866/168,747 = 168,747/x
  3. Step 3: Cross multiply
    112,866x = 168,747 × 168,747
  4. Step 4: Simplify right side
    112,866x = 28,475,550,009
  5. Step 5: Solve for x
    x = 28,475,550,009/112,866
  6. Step 6: Final answer
    x = 252,295.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.