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Finding the Third Proportional to 43,071.75 and 91,352.81

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Solution

The third proportional to 43,071.75 and 91,352.81 is: 193,754.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,071.75 : 91,352.81 = 91,352.81 : x
  2. Step 2: Convert to fraction form
    43,071.75/91,352.81 = 91,352.81/x
  3. Step 3: Cross multiply
    43,071.75x = 91,352.81 × 91,352.81
  4. Step 4: Simplify right side
    43,071.75x = 8,345,336,351.66
  5. Step 5: Solve for x
    x = 8,345,336,351.66/43,071.75
  6. Step 6: Final answer
    x = 193,754.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.