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Finding the Third Proportional to 85,842.75 and 131,315.25

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Solution

The third proportional to 85,842.75 and 131,315.25 is: 200,875.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,842.75 : 131,315.25 = 131,315.25 : x
  2. Step 2: Convert to fraction form
    85,842.75/131,315.25 = 131,315.25/x
  3. Step 3: Cross multiply
    85,842.75x = 131,315.25 × 131,315.25
  4. Step 4: Simplify right side
    85,842.75x = 17,243,694,882.56
  5. Step 5: Solve for x
    x = 17,243,694,882.56/85,842.75
  6. Step 6: Final answer
    x = 200,875.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.