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Finding the Third Proportional to 68,709.75 and 100,604.25

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Solution

The third proportional to 68,709.75 and 100,604.25 is: 147,303.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,709.75 : 100,604.25 = 100,604.25 : x
  2. Step 2: Convert to fraction form
    68,709.75/100,604.25 = 100,604.25/x
  3. Step 3: Cross multiply
    68,709.75x = 100,604.25 × 100,604.25
  4. Step 4: Simplify right side
    68,709.75x = 10,121,215,118.06
  5. Step 5: Solve for x
    x = 10,121,215,118.06/68,709.75
  6. Step 6: Final answer
    x = 147,303.91

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.