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Finding the Third Proportional to 84,953 and 184,674

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Solution

The third proportional to 84,953 and 184,674 is: 401,451.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,953 : 184,674 = 184,674 : x
  2. Step 2: Convert to fraction form
    84,953/184,674 = 184,674/x
  3. Step 3: Cross multiply
    84,953x = 184,674 × 184,674
  4. Step 4: Simplify right side
    84,953x = 34,104,486,276
  5. Step 5: Solve for x
    x = 34,104,486,276/84,953
  6. Step 6: Final answer
    x = 401,451.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.