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Finding the Third Proportional to 84,226.50 and 187,137

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Solution

The third proportional to 84,226.50 and 187,137 is: 415,786.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,226.50 : 187,137 = 187,137 : x
  2. Step 2: Convert to fraction form
    84,226.50/187,137 = 187,137/x
  3. Step 3: Cross multiply
    84,226.50x = 187,137 × 187,137
  4. Step 4: Simplify right side
    84,226.50x = 35,020,256,769
  5. Step 5: Solve for x
    x = 35,020,256,769/84,226.50
  6. Step 6: Final answer
    x = 415,786.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.