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Finding the Third Proportional to 72,842 and 159,952

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Solution

The third proportional to 72,842 and 159,952 is: 351,234.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,842 : 159,952 = 159,952 : x
  2. Step 2: Convert to fraction form
    72,842/159,952 = 159,952/x
  3. Step 3: Cross multiply
    72,842x = 159,952 × 159,952
  4. Step 4: Simplify right side
    72,842x = 25,584,642,304
  5. Step 5: Solve for x
    x = 25,584,642,304/72,842
  6. Step 6: Final answer
    x = 351,234.76

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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.