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Finding the Third Proportional to 84,141 and 184,122

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Solution

The third proportional to 84,141 and 184,122 is: 402,905.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,141 : 184,122 = 184,122 : x
  2. Step 2: Convert to fraction form
    84,141/184,122 = 184,122/x
  3. Step 3: Cross multiply
    84,141x = 184,122 × 184,122
  4. Step 4: Simplify right side
    84,141x = 33,900,910,884
  5. Step 5: Solve for x
    x = 33,900,910,884/84,141
  6. Step 6: Final answer
    x = 402,905.97

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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.