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Finding the Third Proportional to 41,618 and 91,719

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Solution

The third proportional to 41,618 and 91,719 is: 202,133.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,618 : 91,719 = 91,719 : x
  2. Step 2: Convert to fraction form
    41,618/91,719 = 91,719/x
  3. Step 3: Cross multiply
    41,618x = 91,719 × 91,719
  4. Step 4: Simplify right side
    41,618x = 8,412,374,961
  5. Step 5: Solve for x
    x = 8,412,374,961/41,618
  6. Step 6: Final answer
    x = 202,133.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.