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Finding the Third Proportional to 120,717.84 and 163,945.27

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Solution

The third proportional to 120,717.84 and 163,945.27 is: 222,651.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,717.84 : 163,945.27 = 163,945.27 : x
  2. Step 2: Convert to fraction form
    120,717.84/163,945.27 = 163,945.27/x
  3. Step 3: Cross multiply
    120,717.84x = 163,945.27 × 163,945.27
  4. Step 4: Simplify right side
    120,717.84x = 26,878,050,120.85
  5. Step 5: Solve for x
    x = 26,878,050,120.85/120,717.84
  6. Step 6: Final answer
    x = 222,651.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.