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Finding the Third Proportional to 68,404.50 and 146,923.88

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Solution

The third proportional to 68,404.50 and 146,923.88 is: 315,573.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,404.50 : 146,923.88 = 146,923.88 : x
  2. Step 2: Convert to fraction form
    68,404.50/146,923.88 = 146,923.88/x
  3. Step 3: Cross multiply
    68,404.50x = 146,923.88 × 146,923.88
  4. Step 4: Simplify right side
    68,404.50x = 21,586,625,045.02
  5. Step 5: Solve for x
    x = 21,586,625,045.02/68,404.50
  6. Step 6: Final answer
    x = 315,573.17

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.