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Finding the Third Proportional to 40,150 and 83,486

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Solution

The third proportional to 40,150 and 83,486 is: 173,596.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,150 : 83,486 = 83,486 : x
  2. Step 2: Convert to fraction form
    40,150/83,486 = 83,486/x
  3. Step 3: Cross multiply
    40,150x = 83,486 × 83,486
  4. Step 4: Simplify right side
    40,150x = 6,969,912,196
  5. Step 5: Solve for x
    x = 6,969,912,196/40,150
  6. Step 6: Final answer
    x = 173,596.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.