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Finding the Third Proportional to 87,596 and 181,423

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Solution

The third proportional to 87,596 and 181,423 is: 375,751.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,596 : 181,423 = 181,423 : x
  2. Step 2: Convert to fraction form
    87,596/181,423 = 181,423/x
  3. Step 3: Cross multiply
    87,596x = 181,423 × 181,423
  4. Step 4: Simplify right side
    87,596x = 32,914,304,929
  5. Step 5: Solve for x
    x = 32,914,304,929/87,596
  6. Step 6: Final answer
    x = 375,751.23

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.