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Finding the Third Proportional to 73,674 and 160,842

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Solution

The third proportional to 73,674 and 160,842 is: 351,143.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,674 : 160,842 = 160,842 : x
  2. Step 2: Convert to fraction form
    73,674/160,842 = 160,842/x
  3. Step 3: Cross multiply
    73,674x = 160,842 × 160,842
  4. Step 4: Simplify right side
    73,674x = 25,870,148,964
  5. Step 5: Solve for x
    x = 25,870,148,964/73,674
  6. Step 6: Final answer
    x = 351,143.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.