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Finding the Third Proportional to 112,681 and 168,671

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Solution

The third proportional to 112,681 and 168,671 is: 252,481.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,681 : 168,671 = 168,671 : x
  2. Step 2: Convert to fraction form
    112,681/168,671 = 168,671/x
  3. Step 3: Cross multiply
    112,681x = 168,671 × 168,671
  4. Step 4: Simplify right side
    112,681x = 28,449,906,241
  5. Step 5: Solve for x
    x = 28,449,906,241/112,681
  6. Step 6: Final answer
    x = 252,481.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.