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Finding the Third Proportional to 124,238 and 165,525

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Solution

The third proportional to 124,238 and 165,525 is: 220,532.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,238 : 165,525 = 165,525 : x
  2. Step 2: Convert to fraction form
    124,238/165,525 = 165,525/x
  3. Step 3: Cross multiply
    124,238x = 165,525 × 165,525
  4. Step 4: Simplify right side
    124,238x = 27,398,525,625
  5. Step 5: Solve for x
    x = 27,398,525,625/124,238
  6. Step 6: Final answer
    x = 220,532.57

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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.