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Finding the Third Proportional to 120,204 and 186,118

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Solution

The third proportional to 120,204 and 186,118 is: 288,176.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,204 : 186,118 = 186,118 : x
  2. Step 2: Convert to fraction form
    120,204/186,118 = 186,118/x
  3. Step 3: Cross multiply
    120,204x = 186,118 × 186,118
  4. Step 4: Simplify right side
    120,204x = 34,639,909,924
  5. Step 5: Solve for x
    x = 34,639,909,924/120,204
  6. Step 6: Final answer
    x = 288,176.02

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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.