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Finding the Third Proportional to 73,669 and 160,830

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Solution

The third proportional to 73,669 and 160,830 is: 351,114.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,669 : 160,830 = 160,830 : x
  2. Step 2: Convert to fraction form
    73,669/160,830 = 160,830/x
  3. Step 3: Cross multiply
    73,669x = 160,830 × 160,830
  4. Step 4: Simplify right side
    73,669x = 25,866,288,900
  5. Step 5: Solve for x
    x = 25,866,288,900/73,669
  6. Step 6: Final answer
    x = 351,114.97

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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.