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Finding the Third Proportional to 89,126 and 192,796

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Solution

The third proportional to 89,126 and 192,796 is: 417,053.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,126 : 192,796 = 192,796 : x
  2. Step 2: Convert to fraction form
    89,126/192,796 = 192,796/x
  3. Step 3: Cross multiply
    89,126x = 192,796 × 192,796
  4. Step 4: Simplify right side
    89,126x = 37,170,297,616
  5. Step 5: Solve for x
    x = 37,170,297,616/89,126
  6. Step 6: Final answer
    x = 417,053.36

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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.