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Finding the Third Proportional to 34,080.75 and 69,857.44

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Solution

The third proportional to 34,080.75 and 69,857.44 is: 143,191.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,080.75 : 69,857.44 = 69,857.44 : x
  2. Step 2: Convert to fraction form
    34,080.75/69,857.44 = 69,857.44/x
  3. Step 3: Cross multiply
    34,080.75x = 69,857.44 × 69,857.44
  4. Step 4: Simplify right side
    34,080.75x = 4,880,061,574.07
  5. Step 5: Solve for x
    x = 4,880,061,574.07/34,080.75
  6. Step 6: Final answer
    x = 143,191.14

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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.