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Finding the Third Proportional to 55,102 and 80,059

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Solution

The third proportional to 55,102 and 80,059 is: 116,319.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,102 : 80,059 = 80,059 : x
  2. Step 2: Convert to fraction form
    55,102/80,059 = 80,059/x
  3. Step 3: Cross multiply
    55,102x = 80,059 × 80,059
  4. Step 4: Simplify right side
    55,102x = 6,409,443,481
  5. Step 5: Solve for x
    x = 6,409,443,481/55,102
  6. Step 6: Final answer
    x = 116,319.62

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.