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Finding the Third Proportional to 69,326 and 110,200

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Solution

The third proportional to 69,326 and 110,200 is: 175,172.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,326 : 110,200 = 110,200 : x
  2. Step 2: Convert to fraction form
    69,326/110,200 = 110,200/x
  3. Step 3: Cross multiply
    69,326x = 110,200 × 110,200
  4. Step 4: Simplify right side
    69,326x = 12,144,040,000
  5. Step 5: Solve for x
    x = 12,144,040,000/69,326
  6. Step 6: Final answer
    x = 175,172.95

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.