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Finding the Third Proportional to 73,510.75 and 159,468.25

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Solution

The third proportional to 73,510.75 and 159,468.25 is: 345,937.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,510.75 : 159,468.25 = 159,468.25 : x
  2. Step 2: Convert to fraction form
    73,510.75/159,468.25 = 159,468.25/x
  3. Step 3: Cross multiply
    73,510.75x = 159,468.25 × 159,468.25
  4. Step 4: Simplify right side
    73,510.75x = 25,430,122,758.06
  5. Step 5: Solve for x
    x = 25,430,122,758.06/73,510.75
  6. Step 6: Final answer
    x = 345,937.47

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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.