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Finding the Third Proportional to 49,239 and 73,908

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Solution

The third proportional to 49,239 and 73,908 is: 110,936.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,239 : 73,908 = 73,908 : x
  2. Step 2: Convert to fraction form
    49,239/73,908 = 73,908/x
  3. Step 3: Cross multiply
    49,239x = 73,908 × 73,908
  4. Step 4: Simplify right side
    49,239x = 5,462,392,464
  5. Step 5: Solve for x
    x = 5,462,392,464/49,239
  6. Step 6: Final answer
    x = 110,936.30

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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.