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Finding the Third Proportional to 112,438 and 168,049

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Solution

The third proportional to 112,438 and 168,049 is: 251,164.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,438 : 168,049 = 168,049 : x
  2. Step 2: Convert to fraction form
    112,438/168,049 = 168,049/x
  3. Step 3: Cross multiply
    112,438x = 168,049 × 168,049
  4. Step 4: Simplify right side
    112,438x = 28,240,466,401
  5. Step 5: Solve for x
    x = 28,240,466,401/112,438
  6. Step 6: Final answer
    x = 251,164.79

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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.