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Finding the Third Proportional to 73,996.88 and 159,818.06

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Solution

The third proportional to 73,996.88 and 159,818.06 is: 345,174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,996.88 : 159,818.06 = 159,818.06 : x
  2. Step 2: Convert to fraction form
    73,996.88/159,818.06 = 159,818.06/x
  3. Step 3: Cross multiply
    73,996.88x = 159,818.06 × 159,818.06
  4. Step 4: Simplify right side
    73,996.88x = 25,541,813,101.25
  5. Step 5: Solve for x
    x = 25,541,813,101.25/73,996.88
  6. Step 6: Final answer
    x = 345,174.21

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