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Finding the Third Proportional to 75,761 and 115,948

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Solution

The third proportional to 75,761 and 115,948 is: 177,451.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,761 : 115,948 = 115,948 : x
  2. Step 2: Convert to fraction form
    75,761/115,948 = 115,948/x
  3. Step 3: Cross multiply
    75,761x = 115,948 × 115,948
  4. Step 4: Simplify right side
    75,761x = 13,443,938,704
  5. Step 5: Solve for x
    x = 13,443,938,704/75,761
  6. Step 6: Final answer
    x = 177,451.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.