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Finding the Third Proportional to 67,659 and 146,844.75

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Solution

The third proportional to 67,659 and 146,844.75 is: 318,706.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,659 : 146,844.75 = 146,844.75 : x
  2. Step 2: Convert to fraction form
    67,659/146,844.75 = 146,844.75/x
  3. Step 3: Cross multiply
    67,659x = 146,844.75 × 146,844.75
  4. Step 4: Simplify right side
    67,659x = 21,563,380,602.56
  5. Step 5: Solve for x
    x = 21,563,380,602.56/67,659
  6. Step 6: Final answer
    x = 318,706.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.