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Finding the Third Proportional to 40,716 and 90,180

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Solution

The third proportional to 40,716 and 90,180 is: 199,735.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,716 : 90,180 = 90,180 : x
  2. Step 2: Convert to fraction form
    40,716/90,180 = 90,180/x
  3. Step 3: Cross multiply
    40,716x = 90,180 × 90,180
  4. Step 4: Simplify right side
    40,716x = 8,132,432,400
  5. Step 5: Solve for x
    x = 8,132,432,400/40,716
  6. Step 6: Final answer
    x = 199,735.54

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.