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Finding the Third Proportional to 100,614 and 159,186

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Solution

The third proportional to 100,614 and 159,186 is: 251,855.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,614 : 159,186 = 159,186 : x
  2. Step 2: Convert to fraction form
    100,614/159,186 = 159,186/x
  3. Step 3: Cross multiply
    100,614x = 159,186 × 159,186
  4. Step 4: Simplify right side
    100,614x = 25,340,182,596
  5. Step 5: Solve for x
    x = 25,340,182,596/100,614
  6. Step 6: Final answer
    x = 251,855.43

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.