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Finding the Third Proportional to 55,194 and 80,817

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Solution

The third proportional to 55,194 and 80,817 is: 118,335.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,194 : 80,817 = 80,817 : x
  2. Step 2: Convert to fraction form
    55,194/80,817 = 80,817/x
  3. Step 3: Cross multiply
    55,194x = 80,817 × 80,817
  4. Step 4: Simplify right side
    55,194x = 6,531,387,489
  5. Step 5: Solve for x
    x = 6,531,387,489/55,194
  6. Step 6: Final answer
    x = 118,335.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.