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Finding the Third Proportional to 84,175 and 184,186

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Solution

The third proportional to 84,175 and 184,186 is: 403,023.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,175 : 184,186 = 184,186 : x
  2. Step 2: Convert to fraction form
    84,175/184,186 = 184,186/x
  3. Step 3: Cross multiply
    84,175x = 184,186 × 184,186
  4. Step 4: Simplify right side
    84,175x = 33,924,482,596
  5. Step 5: Solve for x
    x = 33,924,482,596/84,175
  6. Step 6: Final answer
    x = 403,023.26

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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.