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Finding the Third Proportional to 84,996 and 184,896

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Solution

The third proportional to 84,996 and 184,896 is: 402,213.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,996 : 184,896 = 184,896 : x
  2. Step 2: Convert to fraction form
    84,996/184,896 = 184,896/x
  3. Step 3: Cross multiply
    84,996x = 184,896 × 184,896
  4. Step 4: Simplify right side
    84,996x = 34,186,530,816
  5. Step 5: Solve for x
    x = 34,186,530,816/84,996
  6. Step 6: Final answer
    x = 402,213.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.