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Finding the Third Proportional to 84,232 and 187,144

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Solution

The third proportional to 84,232 and 187,144 is: 415,790.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,232 : 187,144 = 187,144 : x
  2. Step 2: Convert to fraction form
    84,232/187,144 = 187,144/x
  3. Step 3: Cross multiply
    84,232x = 187,144 × 187,144
  4. Step 4: Simplify right side
    84,232x = 35,022,876,736
  5. Step 5: Solve for x
    x = 35,022,876,736/84,232
  6. Step 6: Final answer
    x = 415,790.63

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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.