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Finding the Third Proportional to 55,733 and 84,194

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Solution

The third proportional to 55,733 and 84,194 is: 127,189.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,733 : 84,194 = 84,194 : x
  2. Step 2: Convert to fraction form
    55,733/84,194 = 84,194/x
  3. Step 3: Cross multiply
    55,733x = 84,194 × 84,194
  4. Step 4: Simplify right side
    55,733x = 7,088,629,636
  5. Step 5: Solve for x
    x = 7,088,629,636/55,733
  6. Step 6: Final answer
    x = 127,189.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.