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Finding the Third Proportional to 45,226 and 91,683

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Solution

The third proportional to 45,226 and 91,683 is: 185,861.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,226 : 91,683 = 91,683 : x
  2. Step 2: Convert to fraction form
    45,226/91,683 = 91,683/x
  3. Step 3: Cross multiply
    45,226x = 91,683 × 91,683
  4. Step 4: Simplify right side
    45,226x = 8,405,772,489
  5. Step 5: Solve for x
    x = 8,405,772,489/45,226
  6. Step 6: Final answer
    x = 185,861.51

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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.