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Finding the Third Proportional to 45,736 and 98,762

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Solution

The third proportional to 45,736 and 98,762 is: 213,265.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,736 : 98,762 = 98,762 : x
  2. Step 2: Convert to fraction form
    45,736/98,762 = 98,762/x
  3. Step 3: Cross multiply
    45,736x = 98,762 × 98,762
  4. Step 4: Simplify right side
    45,736x = 9,753,932,644
  5. Step 5: Solve for x
    x = 9,753,932,644/45,736
  6. Step 6: Final answer
    x = 213,265.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.