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Finding the Third Proportional to 36,304 and 79,963

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Solution

The third proportional to 36,304 and 79,963 is: 176,126.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,304 : 79,963 = 79,963 : x
  2. Step 2: Convert to fraction form
    36,304/79,963 = 79,963/x
  3. Step 3: Cross multiply
    36,304x = 79,963 × 79,963
  4. Step 4: Simplify right side
    36,304x = 6,394,081,369
  5. Step 5: Solve for x
    x = 6,394,081,369/36,304
  6. Step 6: Final answer
    x = 176,126.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.