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Finding the Third Proportional to 75,768 and 115,959

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Solution

The third proportional to 75,768 and 115,959 is: 177,469.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,768 : 115,959 = 115,959 : x
  2. Step 2: Convert to fraction form
    75,768/115,959 = 115,959/x
  3. Step 3: Cross multiply
    75,768x = 115,959 × 115,959
  4. Step 4: Simplify right side
    75,768x = 13,446,489,681
  5. Step 5: Solve for x
    x = 13,446,489,681/75,768
  6. Step 6: Final answer
    x = 177,469.24

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