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Finding the Third Proportional to 68,834 and 100,760

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Solution

The third proportional to 68,834 and 100,760 is: 147,493.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,834 : 100,760 = 100,760 : x
  2. Step 2: Convert to fraction form
    68,834/100,760 = 100,760/x
  3. Step 3: Cross multiply
    68,834x = 100,760 × 100,760
  4. Step 4: Simplify right side
    68,834x = 10,152,577,600
  5. Step 5: Solve for x
    x = 10,152,577,600/68,834
  6. Step 6: Final answer
    x = 147,493.65

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.