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Finding the Third Proportional to 69,952.50 and 109,116

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Solution

The third proportional to 69,952.50 and 109,116 is: 170,205.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,952.50 : 109,116 = 109,116 : x
  2. Step 2: Convert to fraction form
    69,952.50/109,116 = 109,116/x
  3. Step 3: Cross multiply
    69,952.50x = 109,116 × 109,116
  4. Step 4: Simplify right side
    69,952.50x = 11,906,301,456
  5. Step 5: Solve for x
    x = 11,906,301,456/69,952.50
  6. Step 6: Final answer
    x = 170,205.52

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.