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Finding the Third Proportional to 75,858 and 109,266

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Solution

The third proportional to 75,858 and 109,266 is: 157,386.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,858 : 109,266 = 109,266 : x
  2. Step 2: Convert to fraction form
    75,858/109,266 = 109,266/x
  3. Step 3: Cross multiply
    75,858x = 109,266 × 109,266
  4. Step 4: Simplify right side
    75,858x = 11,939,058,756
  5. Step 5: Solve for x
    x = 11,939,058,756/75,858
  6. Step 6: Final answer
    x = 157,386.94

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.