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Finding the Third Proportional to 75,181 and 105,777

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Solution

The third proportional to 75,181 and 105,777 is: 148,824.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,181 : 105,777 = 105,777 : x
  2. Step 2: Convert to fraction form
    75,181/105,777 = 105,777/x
  3. Step 3: Cross multiply
    75,181x = 105,777 × 105,777
  4. Step 4: Simplify right side
    75,181x = 11,188,773,729
  5. Step 5: Solve for x
    x = 11,188,773,729/75,181
  6. Step 6: Final answer
    x = 148,824.49

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.