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Finding the Third Proportional to 120,649.50 and 165,462.75

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Solution

The third proportional to 120,649.50 and 165,462.75 is: 226,921.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,649.50 : 165,462.75 = 165,462.75 : x
  2. Step 2: Convert to fraction form
    120,649.50/165,462.75 = 165,462.75/x
  3. Step 3: Cross multiply
    120,649.50x = 165,462.75 × 165,462.75
  4. Step 4: Simplify right side
    120,649.50x = 27,377,921,637.56
  5. Step 5: Solve for x
    x = 27,377,921,637.56/120,649.50
  6. Step 6: Final answer
    x = 226,921.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.