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Finding the Third Proportional to 35,250 and 73,959

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Solution

The third proportional to 35,250 and 73,959 is: 155,175.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,250 : 73,959 = 73,959 : x
  2. Step 2: Convert to fraction form
    35,250/73,959 = 73,959/x
  3. Step 3: Cross multiply
    35,250x = 73,959 × 73,959
  4. Step 4: Simplify right side
    35,250x = 5,469,933,681
  5. Step 5: Solve for x
    x = 5,469,933,681/35,250
  6. Step 6: Final answer
    x = 155,175.42

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.