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Finding the Third Proportional to 45,353.25 and 95,748.75

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Solution

The third proportional to 45,353.25 and 95,748.75 is: 202,142.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,353.25 : 95,748.75 = 95,748.75 : x
  2. Step 2: Convert to fraction form
    45,353.25/95,748.75 = 95,748.75/x
  3. Step 3: Cross multiply
    45,353.25x = 95,748.75 × 95,748.75
  4. Step 4: Simplify right side
    45,353.25x = 9,167,823,126.56
  5. Step 5: Solve for x
    x = 9,167,823,126.56/45,353.25
  6. Step 6: Final answer
    x = 202,142.58

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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.