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Finding the Third Proportional to 75,964.50 and 165,601.13

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Solution

The third proportional to 75,964.50 and 165,601.13 is: 361,007.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,964.50 : 165,601.13 = 165,601.13 : x
  2. Step 2: Convert to fraction form
    75,964.50/165,601.13 = 165,601.13/x
  3. Step 3: Cross multiply
    75,964.50x = 165,601.13 × 165,601.13
  4. Step 4: Simplify right side
    75,964.50x = 27,423,732,601.27
  5. Step 5: Solve for x
    x = 27,423,732,601.27/75,964.50
  6. Step 6: Final answer
    x = 361,007.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.