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Finding the Third Proportional to 73,498.50 and 159,444

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Solution

The third proportional to 73,498.50 and 159,444 is: 345,889.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,498.50 : 159,444 = 159,444 : x
  2. Step 2: Convert to fraction form
    73,498.50/159,444 = 159,444/x
  3. Step 3: Cross multiply
    73,498.50x = 159,444 × 159,444
  4. Step 4: Simplify right side
    73,498.50x = 25,422,389,136
  5. Step 5: Solve for x
    x = 25,422,389,136/73,498.50
  6. Step 6: Final answer
    x = 345,889.90

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.