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Finding the Third Proportional to 118,842.19 and 161,860.78

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Solution

The third proportional to 118,842.19 and 161,860.78 is: 220,451.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,842.19 : 161,860.78 = 161,860.78 : x
  2. Step 2: Convert to fraction form
    118,842.19/161,860.78 = 161,860.78/x
  3. Step 3: Cross multiply
    118,842.19x = 161,860.78 × 161,860.78
  4. Step 4: Simplify right side
    118,842.19x = 26,198,912,506.86
  5. Step 5: Solve for x
    x = 26,198,912,506.86/118,842.19
  6. Step 6: Final answer
    x = 220,451.28

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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.