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Finding the Third Proportional to 67,281.75 and 105,558.75

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Solution

The third proportional to 67,281.75 and 105,558.75 is: 165,611.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,281.75 : 105,558.75 = 105,558.75 : x
  2. Step 2: Convert to fraction form
    67,281.75/105,558.75 = 105,558.75/x
  3. Step 3: Cross multiply
    67,281.75x = 105,558.75 × 105,558.75
  4. Step 4: Simplify right side
    67,281.75x = 11,142,649,701.56
  5. Step 5: Solve for x
    x = 11,142,649,701.56/67,281.75
  6. Step 6: Final answer
    x = 165,611.77

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.