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Finding the Third Proportional to 43,074 and 91,261.50

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Solution

The third proportional to 43,074 and 91,261.50 is: 193,357.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,074 : 91,261.50 = 91,261.50 : x
  2. Step 2: Convert to fraction form
    43,074/91,261.50 = 91,261.50/x
  3. Step 3: Cross multiply
    43,074x = 91,261.50 × 91,261.50
  4. Step 4: Simplify right side
    43,074x = 8,328,661,382.25
  5. Step 5: Solve for x
    x = 8,328,661,382.25/43,074
  6. Step 6: Final answer
    x = 193,357.05

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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.