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Finding the Third Proportional to 45,235 and 91,686

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Solution

The third proportional to 45,235 and 91,686 is: 185,836.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,235 : 91,686 = 91,686 : x
  2. Step 2: Convert to fraction form
    45,235/91,686 = 91,686/x
  3. Step 3: Cross multiply
    45,235x = 91,686 × 91,686
  4. Step 4: Simplify right side
    45,235x = 8,406,322,596
  5. Step 5: Solve for x
    x = 8,406,322,596/45,235
  6. Step 6: Final answer
    x = 185,836.69

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.