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Finding the Third Proportional to 84,254 and 187,192

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Solution

The third proportional to 84,254 and 187,192 is: 415,895.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,254 : 187,192 = 187,192 : x
  2. Step 2: Convert to fraction form
    84,254/187,192 = 187,192/x
  3. Step 3: Cross multiply
    84,254x = 187,192 × 187,192
  4. Step 4: Simplify right side
    84,254x = 35,040,844,864
  5. Step 5: Solve for x
    x = 35,040,844,864/84,254
  6. Step 6: Final answer
    x = 415,895.33

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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.