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Finding the Third Proportional to 112,154 and 166,612

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Solution

The third proportional to 112,154 and 166,612 is: 247,512.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,154 : 166,612 = 166,612 : x
  2. Step 2: Convert to fraction form
    112,154/166,612 = 166,612/x
  3. Step 3: Cross multiply
    112,154x = 166,612 × 166,612
  4. Step 4: Simplify right side
    112,154x = 27,759,558,544
  5. Step 5: Solve for x
    x = 27,759,558,544/112,154
  6. Step 6: Final answer
    x = 247,512.87

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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.