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Finding the Third Proportional to 73,993.13 and 159,809.25

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Solution

The third proportional to 73,993.13 and 159,809.25 is: 345,153.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,993.13 : 159,809.25 = 159,809.25 : x
  2. Step 2: Convert to fraction form
    73,993.13/159,809.25 = 159,809.25/x
  3. Step 3: Cross multiply
    73,993.13x = 159,809.25 × 159,809.25
  4. Step 4: Simplify right side
    73,993.13x = 25,538,996,385.56
  5. Step 5: Solve for x
    x = 25,538,996,385.56/73,993.13
  6. Step 6: Final answer
    x = 345,153.64

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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.