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Finding the Third Proportional to 112,117 and 166,578

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Solution

The third proportional to 112,117 and 166,578 is: 247,493.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,117 : 166,578 = 166,578 : x
  2. Step 2: Convert to fraction form
    112,117/166,578 = 166,578/x
  3. Step 3: Cross multiply
    112,117x = 166,578 × 166,578
  4. Step 4: Simplify right side
    112,117x = 27,748,230,084
  5. Step 5: Solve for x
    x = 27,748,230,084/112,117
  6. Step 6: Final answer
    x = 247,493.51

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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.