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Finding the Third Proportional to 112,304 and 166,812

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Solution

The third proportional to 112,304 and 166,812 is: 247,776.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,304 : 166,812 = 166,812 : x
  2. Step 2: Convert to fraction form
    112,304/166,812 = 166,812/x
  3. Step 3: Cross multiply
    112,304x = 166,812 × 166,812
  4. Step 4: Simplify right side
    112,304x = 27,826,243,344
  5. Step 5: Solve for x
    x = 27,826,243,344/112,304
  6. Step 6: Final answer
    x = 247,776.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.