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Finding the Third Proportional to 73,611 and 159,670

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Solution

The third proportional to 73,611 and 159,670 is: 346,341.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,611 : 159,670 = 159,670 : x
  2. Step 2: Convert to fraction form
    73,611/159,670 = 159,670/x
  3. Step 3: Cross multiply
    73,611x = 159,670 × 159,670
  4. Step 4: Simplify right side
    73,611x = 25,494,508,900
  5. Step 5: Solve for x
    x = 25,494,508,900/73,611
  6. Step 6: Final answer
    x = 346,341.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.