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Finding the Third Proportional to 72,482 and 159,678

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Solution

The third proportional to 72,482 and 159,678 is: 351,770.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,482 : 159,678 = 159,678 : x
  2. Step 2: Convert to fraction form
    72,482/159,678 = 159,678/x
  3. Step 3: Cross multiply
    72,482x = 159,678 × 159,678
  4. Step 4: Simplify right side
    72,482x = 25,497,063,684
  5. Step 5: Solve for x
    x = 25,497,063,684/72,482
  6. Step 6: Final answer
    x = 351,770.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.