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Finding the Third Proportional to 67,340.91 and 146,504.86

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Solution

The third proportional to 67,340.91 and 146,504.86 is: 318,731.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,340.91 : 146,504.86 = 146,504.86 : x
  2. Step 2: Convert to fraction form
    67,340.91/146,504.86 = 146,504.86/x
  3. Step 3: Cross multiply
    67,340.91x = 146,504.86 × 146,504.86
  4. Step 4: Simplify right side
    67,340.91x = 21,463,673,820.49
  5. Step 5: Solve for x
    x = 21,463,673,820.49/67,340.91
  6. Step 6: Final answer
    x = 318,731.59

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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.