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Finding the Third Proportional to 49,860 and 108,466

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Solution

The third proportional to 49,860 and 108,466 is: 235,958.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,860 : 108,466 = 108,466 : x
  2. Step 2: Convert to fraction form
    49,860/108,466 = 108,466/x
  3. Step 3: Cross multiply
    49,860x = 108,466 × 108,466
  4. Step 4: Simplify right side
    49,860x = 11,764,873,156
  5. Step 5: Solve for x
    x = 11,764,873,156/49,860
  6. Step 6: Final answer
    x = 235,958.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.