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Finding the Third Proportional to 65,499.94 and 140,337.19

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Solution

The third proportional to 65,499.94 and 140,337.19 is: 300,680.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,499.94 : 140,337.19 = 140,337.19 : x
  2. Step 2: Convert to fraction form
    65,499.94/140,337.19 = 140,337.19/x
  3. Step 3: Cross multiply
    65,499.94x = 140,337.19 × 140,337.19
  4. Step 4: Simplify right side
    65,499.94x = 19,694,526,195.41
  5. Step 5: Solve for x
    x = 19,694,526,195.41/65,499.94
  6. Step 6: Final answer
    x = 300,680.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.