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Finding the Third Proportional to 124,242 and 165,530

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Solution

The third proportional to 124,242 and 165,530 is: 220,538.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,242 : 165,530 = 165,530 : x
  2. Step 2: Convert to fraction form
    124,242/165,530 = 165,530/x
  3. Step 3: Cross multiply
    124,242x = 165,530 × 165,530
  4. Step 4: Simplify right side
    124,242x = 27,400,180,900
  5. Step 5: Solve for x
    x = 27,400,180,900/124,242
  6. Step 6: Final answer
    x = 220,538.79

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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.