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Finding the Third Proportional to 75,788 and 106,180

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Solution

The third proportional to 75,788 and 106,180 is: 148,759.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,788 : 106,180 = 106,180 : x
  2. Step 2: Convert to fraction form
    75,788/106,180 = 106,180/x
  3. Step 3: Cross multiply
    75,788x = 106,180 × 106,180
  4. Step 4: Simplify right side
    75,788x = 11,274,192,400
  5. Step 5: Solve for x
    x = 11,274,192,400/75,788
  6. Step 6: Final answer
    x = 148,759.60

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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.