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Finding the Third Proportional to 83,165 and 158,671

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Solution

The third proportional to 83,165 and 158,671 is: 302,729.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,165 : 158,671 = 158,671 : x
  2. Step 2: Convert to fraction form
    83,165/158,671 = 158,671/x
  3. Step 3: Cross multiply
    83,165x = 158,671 × 158,671
  4. Step 4: Simplify right side
    83,165x = 25,176,486,241
  5. Step 5: Solve for x
    x = 25,176,486,241/83,165
  6. Step 6: Final answer
    x = 302,729.35

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.