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Finding the Third Proportional to 83,676 and 117,306

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Solution

The third proportional to 83,676 and 117,306 is: 164,452.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,676 : 117,306 = 117,306 : x
  2. Step 2: Convert to fraction form
    83,676/117,306 = 117,306/x
  3. Step 3: Cross multiply
    83,676x = 117,306 × 117,306
  4. Step 4: Simplify right side
    83,676x = 13,760,697,636
  5. Step 5: Solve for x
    x = 13,760,697,636/83,676
  6. Step 6: Final answer
    x = 164,452.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.