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Finding the Third Proportional to 67,513.78 and 146,934.56

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Solution

The third proportional to 67,513.78 and 146,934.56 is: 319,783.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,513.78 : 146,934.56 = 146,934.56 : x
  2. Step 2: Convert to fraction form
    67,513.78/146,934.56 = 146,934.56/x
  3. Step 3: Cross multiply
    67,513.78x = 146,934.56 × 146,934.56
  4. Step 4: Simplify right side
    67,513.78x = 21,589,765,657.07
  5. Step 5: Solve for x
    x = 21,589,765,657.07/67,513.78
  6. Step 6: Final answer
    x = 319,783.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.