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Finding the Third Proportional to 34,071.26 and 69,842.57

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Solution

The third proportional to 34,071.26 and 69,842.57 is: 143,170.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,071.26 : 69,842.57 = 69,842.57 : x
  2. Step 2: Convert to fraction form
    34,071.26/69,842.57 = 69,842.57/x
  3. Step 3: Cross multiply
    34,071.26x = 69,842.57 × 69,842.57
  4. Step 4: Simplify right side
    34,071.26x = 4,877,984,082.21
  5. Step 5: Solve for x
    x = 4,877,984,082.21/34,071.26
  6. Step 6: Final answer
    x = 143,170.06

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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.