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Finding the Third Proportional to 37,426 and 81,899

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Solution

The third proportional to 37,426 and 81,899 is: 179,218.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,426 : 81,899 = 81,899 : x
  2. Step 2: Convert to fraction form
    37,426/81,899 = 81,899/x
  3. Step 3: Cross multiply
    37,426x = 81,899 × 81,899
  4. Step 4: Simplify right side
    37,426x = 6,707,446,201
  5. Step 5: Solve for x
    x = 6,707,446,201/37,426
  6. Step 6: Final answer
    x = 179,218.89

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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.