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Finding the Third Proportional to 75,508 and 105,846

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Solution

The third proportional to 75,508 and 105,846 is: 148,373.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,508 : 105,846 = 105,846 : x
  2. Step 2: Convert to fraction form
    75,508/105,846 = 105,846/x
  3. Step 3: Cross multiply
    75,508x = 105,846 × 105,846
  4. Step 4: Simplify right side
    75,508x = 11,203,375,716
  5. Step 5: Solve for x
    x = 11,203,375,716/75,508
  6. Step 6: Final answer
    x = 148,373.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.