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Finding the Third Proportional to 84,213 and 184,251

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Solution

The third proportional to 84,213 and 184,251 is: 403,125.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,213 : 184,251 = 184,251 : x
  2. Step 2: Convert to fraction form
    84,213/184,251 = 184,251/x
  3. Step 3: Cross multiply
    84,213x = 184,251 × 184,251
  4. Step 4: Simplify right side
    84,213x = 33,948,431,001
  5. Step 5: Solve for x
    x = 33,948,431,001/84,213
  6. Step 6: Final answer
    x = 403,125.78

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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.