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Finding the Third Proportional to 67,452 and 148,122

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Solution

The third proportional to 67,452 and 148,122 is: 325,270.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,452 : 148,122 = 148,122 : x
  2. Step 2: Convert to fraction form
    67,452/148,122 = 148,122/x
  3. Step 3: Cross multiply
    67,452x = 148,122 × 148,122
  4. Step 4: Simplify right side
    67,452x = 21,940,126,884
  5. Step 5: Solve for x
    x = 21,940,126,884/67,452
  6. Step 6: Final answer
    x = 325,270.22

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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.