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Finding the Third Proportional to 75,676 and 164,452

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Solution

The third proportional to 75,676 and 164,452 is: 357,371.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,676 : 164,452 = 164,452 : x
  2. Step 2: Convert to fraction form
    75,676/164,452 = 164,452/x
  3. Step 3: Cross multiply
    75,676x = 164,452 × 164,452
  4. Step 4: Simplify right side
    75,676x = 27,044,460,304
  5. Step 5: Solve for x
    x = 27,044,460,304/75,676
  6. Step 6: Final answer
    x = 357,371.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.