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Finding the Third Proportional to 66,399.75 and 105,193.69

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Solution

The third proportional to 66,399.75 and 105,193.69 is: 166,652.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,399.75 : 105,193.69 = 105,193.69 : x
  2. Step 2: Convert to fraction form
    66,399.75/105,193.69 = 105,193.69/x
  3. Step 3: Cross multiply
    66,399.75x = 105,193.69 × 105,193.69
  4. Step 4: Simplify right side
    66,399.75x = 11,065,711,889.85
  5. Step 5: Solve for x
    x = 11,065,711,889.85/66,399.75
  6. Step 6: Final answer
    x = 166,652.91

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.