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Finding the Third Proportional to 85,902 and 130,041

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Solution

The third proportional to 85,902 and 130,041 is: 196,859.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,902 : 130,041 = 130,041 : x
  2. Step 2: Convert to fraction form
    85,902/130,041 = 130,041/x
  3. Step 3: Cross multiply
    85,902x = 130,041 × 130,041
  4. Step 4: Simplify right side
    85,902x = 16,910,661,681
  5. Step 5: Solve for x
    x = 16,910,661,681/85,902
  6. Step 6: Final answer
    x = 196,859.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.