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Finding the Third Proportional to 89,210 and 192,052

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Solution

The third proportional to 89,210 and 192,052 is: 413,451.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,210 : 192,052 = 192,052 : x
  2. Step 2: Convert to fraction form
    89,210/192,052 = 192,052/x
  3. Step 3: Cross multiply
    89,210x = 192,052 × 192,052
  4. Step 4: Simplify right side
    89,210x = 36,883,970,704
  5. Step 5: Solve for x
    x = 36,883,970,704/89,210
  6. Step 6: Final answer
    x = 413,451.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.