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Finding the Third Proportional to 67,680.56 and 105,213.94

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Solution

The third proportional to 67,680.56 and 105,213.94 is: 163,562.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,680.56 : 105,213.94 = 105,213.94 : x
  2. Step 2: Convert to fraction form
    67,680.56/105,213.94 = 105,213.94/x
  3. Step 3: Cross multiply
    67,680.56x = 105,213.94 × 105,213.94
  4. Step 4: Simplify right side
    67,680.56x = 11,069,972,644.25
  5. Step 5: Solve for x
    x = 11,069,972,644.25/67,680.56
  6. Step 6: Final answer
    x = 163,562.07

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.