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Finding the Third Proportional to 34,116.75 and 69,932.25

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Solution

The third proportional to 34,116.75 and 69,932.25 is: 143,346.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,116.75 : 69,932.25 = 69,932.25 : x
  2. Step 2: Convert to fraction form
    34,116.75/69,932.25 = 69,932.25/x
  3. Step 3: Cross multiply
    34,116.75x = 69,932.25 × 69,932.25
  4. Step 4: Simplify right side
    34,116.75x = 4,890,519,590.06
  5. Step 5: Solve for x
    x = 4,890,519,590.06/34,116.75
  6. Step 6: Final answer
    x = 143,346.58

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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.