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Finding the Third Proportional to 75,651 and 111,286

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Solution

The third proportional to 75,651 and 111,286 is: 163,706.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,651 : 111,286 = 111,286 : x
  2. Step 2: Convert to fraction form
    75,651/111,286 = 111,286/x
  3. Step 3: Cross multiply
    75,651x = 111,286 × 111,286
  4. Step 4: Simplify right side
    75,651x = 12,384,573,796
  5. Step 5: Solve for x
    x = 12,384,573,796/75,651
  6. Step 6: Final answer
    x = 163,706.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.