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Finding the Third Proportional to 79,132 and 186,801

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Solution

The third proportional to 79,132 and 186,801 is: 440,967.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,132 : 186,801 = 186,801 : x
  2. Step 2: Convert to fraction form
    79,132/186,801 = 186,801/x
  3. Step 3: Cross multiply
    79,132x = 186,801 × 186,801
  4. Step 4: Simplify right side
    79,132x = 34,894,613,601
  5. Step 5: Solve for x
    x = 34,894,613,601/79,132
  6. Step 6: Final answer
    x = 440,967.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.