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Finding the Third Proportional to 85,191.75 and 131,895.84

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Solution

The third proportional to 85,191.75 and 131,895.84 is: 204,204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,191.75 : 131,895.84 = 131,895.84 : x
  2. Step 2: Convert to fraction form
    85,191.75/131,895.84 = 131,895.84/x
  3. Step 3: Cross multiply
    85,191.75x = 131,895.84 × 131,895.84
  4. Step 4: Simplify right side
    85,191.75x = 17,396,513,598.52
  5. Step 5: Solve for x
    x = 17,396,513,598.52/85,191.75
  6. Step 6: Final answer
    x = 204,204.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.