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Finding the Third Proportional to 68,104.13 and 102,399.19

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Solution

The third proportional to 68,104.13 and 102,399.19 is: 153,964.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,104.13 : 102,399.19 = 102,399.19 : x
  2. Step 2: Convert to fraction form
    68,104.13/102,399.19 = 102,399.19/x
  3. Step 3: Cross multiply
    68,104.13x = 102,399.19 × 102,399.19
  4. Step 4: Simplify right side
    68,104.13x = 10,485,593,600.66
  5. Step 5: Solve for x
    x = 10,485,593,600.66/68,104.13
  6. Step 6: Final answer
    x = 153,964.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.