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Finding the Third Proportional to 53,999.16 and 80,998.73

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Solution

The third proportional to 53,999.16 and 80,998.73 is: 121,498.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,999.16 : 80,998.73 = 80,998.73 : x
  2. Step 2: Convert to fraction form
    53,999.16/80,998.73 = 80,998.73/x
  3. Step 3: Cross multiply
    53,999.16x = 80,998.73 × 80,998.73
  4. Step 4: Simplify right side
    53,999.16x = 6,560,794,970.35
  5. Step 5: Solve for x
    x = 6,560,794,970.35/53,999.16
  6. Step 6: Final answer
    x = 121,498.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.