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Finding the Third Proportional to 85,002 and 131,160

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Solution

The third proportional to 85,002 and 131,160 is: 202,382.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,002 : 131,160 = 131,160 : x
  2. Step 2: Convert to fraction form
    85,002/131,160 = 131,160/x
  3. Step 3: Cross multiply
    85,002x = 131,160 × 131,160
  4. Step 4: Simplify right side
    85,002x = 17,202,945,600
  5. Step 5: Solve for x
    x = 17,202,945,600/85,002
  6. Step 6: Final answer
    x = 202,382.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.