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Finding the Third Proportional to 124,231.50 and 165,516.75

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Solution

The third proportional to 124,231.50 and 165,516.75 is: 220,522.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,231.50 : 165,516.75 = 165,516.75 : x
  2. Step 2: Convert to fraction form
    124,231.50/165,516.75 = 165,516.75/x
  3. Step 3: Cross multiply
    124,231.50x = 165,516.75 × 165,516.75
  4. Step 4: Simplify right side
    124,231.50x = 27,395,794,530.56
  5. Step 5: Solve for x
    x = 27,395,794,530.56/124,231.50
  6. Step 6: Final answer
    x = 220,522.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.