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Finding the Third Proportional to 84,162 and 184,159

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Solution

The third proportional to 84,162 and 184,159 is: 402,967.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,162 : 184,159 = 184,159 : x
  2. Step 2: Convert to fraction form
    84,162/184,159 = 184,159/x
  3. Step 3: Cross multiply
    84,162x = 184,159 × 184,159
  4. Step 4: Simplify right side
    84,162x = 33,914,537,281
  5. Step 5: Solve for x
    x = 33,914,537,281/84,162
  6. Step 6: Final answer
    x = 402,967.34

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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.