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Finding the Third Proportional to 80,304 and 117,576

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Solution

The third proportional to 80,304 and 117,576 is: 172,147.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,304 : 117,576 = 117,576 : x
  2. Step 2: Convert to fraction form
    80,304/117,576 = 117,576/x
  3. Step 3: Cross multiply
    80,304x = 117,576 × 117,576
  4. Step 4: Simplify right side
    80,304x = 13,824,115,776
  5. Step 5: Solve for x
    x = 13,824,115,776/80,304
  6. Step 6: Final answer
    x = 172,147.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.