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Finding the Third Proportional to 34,035.19 and 91,717.31

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Solution

The third proportional to 34,035.19 and 91,717.31 is: 247,157.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,035.19 : 91,717.31 = 91,717.31 : x
  2. Step 2: Convert to fraction form
    34,035.19/91,717.31 = 91,717.31/x
  3. Step 3: Cross multiply
    34,035.19x = 91,717.31 × 91,717.31
  4. Step 4: Simplify right side
    34,035.19x = 8,412,065,412.22
  5. Step 5: Solve for x
    x = 8,412,065,412.22/34,035.19
  6. Step 6: Final answer
    x = 247,157.90

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These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.