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Finding the Third Proportional to 45,136.50 and 95,214

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Solution

The third proportional to 45,136.50 and 95,214 is: 200,850.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,136.50 : 95,214 = 95,214 : x
  2. Step 2: Convert to fraction form
    45,136.50/95,214 = 95,214/x
  3. Step 3: Cross multiply
    45,136.50x = 95,214 × 95,214
  4. Step 4: Simplify right side
    45,136.50x = 9,065,705,796
  5. Step 5: Solve for x
    x = 9,065,705,796/45,136.50
  6. Step 6: Final answer
    x = 200,850.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.