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Finding the Third Proportional to 34,084.13 and 69,865.03

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Solution

The third proportional to 34,084.13 and 69,865.03 is: 143,208.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,084.13 : 69,865.03 = 69,865.03 : x
  2. Step 2: Convert to fraction form
    34,084.13/69,865.03 = 69,865.03/x
  3. Step 3: Cross multiply
    34,084.13x = 69,865.03 × 69,865.03
  4. Step 4: Simplify right side
    34,084.13x = 4,881,122,591.56
  5. Step 5: Solve for x
    x = 4,881,122,591.56/34,084.13
  6. Step 6: Final answer
    x = 143,208.09

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.