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Finding the Third Proportional to 73,635.75 and 111,069.56

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Solution

The third proportional to 73,635.75 and 111,069.56 is: 167,533.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,635.75 : 111,069.56 = 111,069.56 : x
  2. Step 2: Convert to fraction form
    73,635.75/111,069.56 = 111,069.56/x
  3. Step 3: Cross multiply
    73,635.75x = 111,069.56 × 111,069.56
  4. Step 4: Simplify right side
    73,635.75x = 12,336,447,713.94
  5. Step 5: Solve for x
    x = 12,336,447,713.94/73,635.75
  6. Step 6: Final answer
    x = 167,533.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.