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Finding the Third Proportional to 100,591 and 186,917

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Solution

The third proportional to 100,591 and 186,917 is: 347,326.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,591 : 186,917 = 186,917 : x
  2. Step 2: Convert to fraction form
    100,591/186,917 = 186,917/x
  3. Step 3: Cross multiply
    100,591x = 186,917 × 186,917
  4. Step 4: Simplify right side
    100,591x = 34,937,964,889
  5. Step 5: Solve for x
    x = 34,937,964,889/100,591
  6. Step 6: Final answer
    x = 347,326.95

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.