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Finding the Third Proportional to 34,086.45 and 69,864.40

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Solution

The third proportional to 34,086.45 and 69,864.40 is: 143,195.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,086.45 : 69,864.40 = 69,864.40 : x
  2. Step 2: Convert to fraction form
    34,086.45/69,864.40 = 69,864.40/x
  3. Step 3: Cross multiply
    34,086.45x = 69,864.40 × 69,864.40
  4. Step 4: Simplify right side
    34,086.45x = 4,881,034,169.03
  5. Step 5: Solve for x
    x = 4,881,034,169.03/34,086.45
  6. Step 6: Final answer
    x = 143,195.75

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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.