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Finding the Third Proportional to 84,993 and 186,144

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Solution

The third proportional to 84,993 and 186,144 is: 407,675.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,993 : 186,144 = 186,144 : x
  2. Step 2: Convert to fraction form
    84,993/186,144 = 186,144/x
  3. Step 3: Cross multiply
    84,993x = 186,144 × 186,144
  4. Step 4: Simplify right side
    84,993x = 34,649,588,736
  5. Step 5: Solve for x
    x = 34,649,588,736/84,993
  6. Step 6: Final answer
    x = 407,675.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.