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Finding the Third Proportional to 73,669 and 160,831

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Solution

The third proportional to 73,669 and 160,831 is: 351,119.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,669 : 160,831 = 160,831 : x
  2. Step 2: Convert to fraction form
    73,669/160,831 = 160,831/x
  3. Step 3: Cross multiply
    73,669x = 160,831 × 160,831
  4. Step 4: Simplify right side
    73,669x = 25,866,610,561
  5. Step 5: Solve for x
    x = 25,866,610,561/73,669
  6. Step 6: Final answer
    x = 351,119.34

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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.