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Finding the Third Proportional to 90,660 and 140,727

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Solution

The third proportional to 90,660 and 140,727 is: 218,443.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,660 : 140,727 = 140,727 : x
  2. Step 2: Convert to fraction form
    90,660/140,727 = 140,727/x
  3. Step 3: Cross multiply
    90,660x = 140,727 × 140,727
  4. Step 4: Simplify right side
    90,660x = 19,804,088,529
  5. Step 5: Solve for x
    x = 19,804,088,529/90,660
  6. Step 6: Final answer
    x = 218,443.51

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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.