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Finding the Third Proportional to 69,558.75 and 111,997.69

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Solution

The third proportional to 69,558.75 and 111,997.69 is: 180,329.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,558.75 : 111,997.69 = 111,997.69 : x
  2. Step 2: Convert to fraction form
    69,558.75/111,997.69 = 111,997.69/x
  3. Step 3: Cross multiply
    69,558.75x = 111,997.69 × 111,997.69
  4. Step 4: Simplify right side
    69,558.75x = 12,543,482,005.35
  5. Step 5: Solve for x
    x = 12,543,482,005.35/69,558.75
  6. Step 6: Final answer
    x = 180,329.32

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.