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Finding the Third Proportional to 73,920 and 162,588

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Solution

The third proportional to 73,920 and 162,588 is: 357,614.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,920 : 162,588 = 162,588 : x
  2. Step 2: Convert to fraction form
    73,920/162,588 = 162,588/x
  3. Step 3: Cross multiply
    73,920x = 162,588 × 162,588
  4. Step 4: Simplify right side
    73,920x = 26,434,857,744
  5. Step 5: Solve for x
    x = 26,434,857,744/73,920
  6. Step 6: Final answer
    x = 357,614.42

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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.