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Finding the Third Proportional to 45,111.25 and 91,315.75

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Solution

The third proportional to 45,111.25 and 91,315.75 is: 184,844.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,111.25 : 91,315.75 = 91,315.75 : x
  2. Step 2: Convert to fraction form
    45,111.25/91,315.75 = 91,315.75/x
  3. Step 3: Cross multiply
    45,111.25x = 91,315.75 × 91,315.75
  4. Step 4: Simplify right side
    45,111.25x = 8,338,566,198.06
  5. Step 5: Solve for x
    x = 8,338,566,198.06/45,111.25
  6. Step 6: Final answer
    x = 184,844.49

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.