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Finding the Third Proportional to 37,137 and 87,579

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Solution

The third proportional to 37,137 and 87,579 is: 206,534.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,137 : 87,579 = 87,579 : x
  2. Step 2: Convert to fraction form
    37,137/87,579 = 87,579/x
  3. Step 3: Cross multiply
    37,137x = 87,579 × 87,579
  4. Step 4: Simplify right side
    37,137x = 7,670,081,241
  5. Step 5: Solve for x
    x = 7,670,081,241/37,137
  6. Step 6: Final answer
    x = 206,534.76

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.