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Finding the Third Proportional to 65,517 and 103,908

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Solution

The third proportional to 65,517 and 103,908 is: 164,794.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,517 : 103,908 = 103,908 : x
  2. Step 2: Convert to fraction form
    65,517/103,908 = 103,908/x
  3. Step 3: Cross multiply
    65,517x = 103,908 × 103,908
  4. Step 4: Simplify right side
    65,517x = 10,796,872,464
  5. Step 5: Solve for x
    x = 10,796,872,464/65,517
  6. Step 6: Final answer
    x = 164,794.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.