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Finding the Third Proportional to 69,399 and 103,908

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Solution

The third proportional to 69,399 and 103,908 is: 155,576.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,399 : 103,908 = 103,908 : x
  2. Step 2: Convert to fraction form
    69,399/103,908 = 103,908/x
  3. Step 3: Cross multiply
    69,399x = 103,908 × 103,908
  4. Step 4: Simplify right side
    69,399x = 10,796,872,464
  5. Step 5: Solve for x
    x = 10,796,872,464/69,399
  6. Step 6: Final answer
    x = 155,576.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.