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Finding the Third Proportional to 41,921 and 91,618

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Solution

The third proportional to 41,921 and 91,618 is: 200,230.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,921 : 91,618 = 91,618 : x
  2. Step 2: Convert to fraction form
    41,921/91,618 = 91,618/x
  3. Step 3: Cross multiply
    41,921x = 91,618 × 91,618
  4. Step 4: Simplify right side
    41,921x = 8,393,857,924
  5. Step 5: Solve for x
    x = 8,393,857,924/41,921
  6. Step 6: Final answer
    x = 200,230.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.