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Finding the Third Proportional to 101,217 and 160,836

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Solution

The third proportional to 101,217 and 160,836 is: 255,571.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,217 : 160,836 = 160,836 : x
  2. Step 2: Convert to fraction form
    101,217/160,836 = 160,836/x
  3. Step 3: Cross multiply
    101,217x = 160,836 × 160,836
  4. Step 4: Simplify right side
    101,217x = 25,868,218,896
  5. Step 5: Solve for x
    x = 25,868,218,896/101,217
  6. Step 6: Final answer
    x = 255,571.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.