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Finding the Third Proportional to 73,993.50 and 159,811.31

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Solution

The third proportional to 73,993.50 and 159,811.31 is: 345,160.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,993.50 : 159,811.31 = 159,811.31 : x
  2. Step 2: Convert to fraction form
    73,993.50/159,811.31 = 159,811.31/x
  3. Step 3: Cross multiply
    73,993.50x = 159,811.31 × 159,811.31
  4. Step 4: Simplify right side
    73,993.50x = 25,539,655,602.97
  5. Step 5: Solve for x
    x = 25,539,655,602.97/73,993.50
  6. Step 6: Final answer
    x = 345,160.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.