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Finding the Third Proportional to 45,412 and 68,180

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Solution

The third proportional to 45,412 and 68,180 is: 102,363.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,412 : 68,180 = 68,180 : x
  2. Step 2: Convert to fraction form
    45,412/68,180 = 68,180/x
  3. Step 3: Cross multiply
    45,412x = 68,180 × 68,180
  4. Step 4: Simplify right side
    45,412x = 4,648,512,400
  5. Step 5: Solve for x
    x = 4,648,512,400/45,412
  6. Step 6: Final answer
    x = 102,363.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.