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Finding the Third Proportional to 69,317.44 and 105,274.69

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Solution

The third proportional to 69,317.44 and 105,274.69 is: 159,884.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,317.44 : 105,274.69 = 105,274.69 : x
  2. Step 2: Convert to fraction form
    69,317.44/105,274.69 = 105,274.69/x
  3. Step 3: Cross multiply
    69,317.44x = 105,274.69 × 105,274.69
  4. Step 4: Simplify right side
    69,317.44x = 11,082,759,828.22
  5. Step 5: Solve for x
    x = 11,082,759,828.22/69,317.44
  6. Step 6: Final answer
    x = 159,884.15

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.