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Finding the Third Proportional to 112,839 and 175,286

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Solution

The third proportional to 112,839 and 175,286 is: 272,292.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,839 : 175,286 = 175,286 : x
  2. Step 2: Convert to fraction form
    112,839/175,286 = 175,286/x
  3. Step 3: Cross multiply
    112,839x = 175,286 × 175,286
  4. Step 4: Simplify right side
    112,839x = 30,725,181,796
  5. Step 5: Solve for x
    x = 30,725,181,796/112,839
  6. Step 6: Final answer
    x = 272,292.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.