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Finding the Third Proportional to 34,074.42 and 69,849.21

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Solution

The third proportional to 34,074.42 and 69,849.21 is: 143,184.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,074.42 : 69,849.21 = 69,849.21 : x
  2. Step 2: Convert to fraction form
    34,074.42/69,849.21 = 69,849.21/x
  3. Step 3: Cross multiply
    34,074.42x = 69,849.21 × 69,849.21
  4. Step 4: Simplify right side
    34,074.42x = 4,878,912,268.59
  5. Step 5: Solve for x
    x = 4,878,912,268.59/34,074.42
  6. Step 6: Final answer
    x = 143,184.01

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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.