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Finding the Third Proportional to 90,166 and 192,840

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Solution

The third proportional to 90,166 and 192,840 is: 412,431.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,166 : 192,840 = 192,840 : x
  2. Step 2: Convert to fraction form
    90,166/192,840 = 192,840/x
  3. Step 3: Cross multiply
    90,166x = 192,840 × 192,840
  4. Step 4: Simplify right side
    90,166x = 37,187,265,600
  5. Step 5: Solve for x
    x = 37,187,265,600/90,166
  6. Step 6: Final answer
    x = 412,431.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.