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Finding the Third Proportional to 83,268 and 120,366

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Solution

The third proportional to 83,268 and 120,366 is: 173,992.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,268 : 120,366 = 120,366 : x
  2. Step 2: Convert to fraction form
    83,268/120,366 = 120,366/x
  3. Step 3: Cross multiply
    83,268x = 120,366 × 120,366
  4. Step 4: Simplify right side
    83,268x = 14,487,973,956
  5. Step 5: Solve for x
    x = 14,487,973,956/83,268
  6. Step 6: Final answer
    x = 173,992.10

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.