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Finding the Third Proportional to 45,150 and 60,909

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Solution

The third proportional to 45,150 and 60,909 is: 82,168.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,150 : 60,909 = 60,909 : x
  2. Step 2: Convert to fraction form
    45,150/60,909 = 60,909/x
  3. Step 3: Cross multiply
    45,150x = 60,909 × 60,909
  4. Step 4: Simplify right side
    45,150x = 3,709,906,281
  5. Step 5: Solve for x
    x = 3,709,906,281/45,150
  6. Step 6: Final answer
    x = 82,168.47

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.