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Finding the Third Proportional to 67,398 and 103,908

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Solution

The third proportional to 67,398 and 103,908 is: 160,195.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,398 : 103,908 = 103,908 : x
  2. Step 2: Convert to fraction form
    67,398/103,908 = 103,908/x
  3. Step 3: Cross multiply
    67,398x = 103,908 × 103,908
  4. Step 4: Simplify right side
    67,398x = 10,796,872,464
  5. Step 5: Solve for x
    x = 10,796,872,464/67,398
  6. Step 6: Final answer
    x = 160,195.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.