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Finding the Third Proportional to 52,674 and 68,334

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Solution

The third proportional to 52,674 and 68,334 is: 88,649.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,674 : 68,334 = 68,334 : x
  2. Step 2: Convert to fraction form
    52,674/68,334 = 68,334/x
  3. Step 3: Cross multiply
    52,674x = 68,334 × 68,334
  4. Step 4: Simplify right side
    52,674x = 4,669,535,556
  5. Step 5: Solve for x
    x = 4,669,535,556/52,674
  6. Step 6: Final answer
    x = 88,649.72

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.