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Finding the Third Proportional to 90,789 and 192,501

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Solution

The third proportional to 90,789 and 192,501 is: 408,162.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,789 : 192,501 = 192,501 : x
  2. Step 2: Convert to fraction form
    90,789/192,501 = 192,501/x
  3. Step 3: Cross multiply
    90,789x = 192,501 × 192,501
  4. Step 4: Simplify right side
    90,789x = 37,056,635,001
  5. Step 5: Solve for x
    x = 37,056,635,001/90,789
  6. Step 6: Final answer
    x = 408,162.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.