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Finding the Third Proportional to 68,932 and 148,868

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Solution

The third proportional to 68,932 and 148,868 is: 321,500.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,932 : 148,868 = 148,868 : x
  2. Step 2: Convert to fraction form
    68,932/148,868 = 148,868/x
  3. Step 3: Cross multiply
    68,932x = 148,868 × 148,868
  4. Step 4: Simplify right side
    68,932x = 22,161,681,424
  5. Step 5: Solve for x
    x = 22,161,681,424/68,932
  6. Step 6: Final answer
    x = 321,500.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.