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Finding the Third Proportional to 73,163.25 and 159,718.50

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Solution

The third proportional to 73,163.25 and 159,718.50 is: 348,672.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,163.25 : 159,718.50 = 159,718.50 : x
  2. Step 2: Convert to fraction form
    73,163.25/159,718.50 = 159,718.50/x
  3. Step 3: Cross multiply
    73,163.25x = 159,718.50 × 159,718.50
  4. Step 4: Simplify right side
    73,163.25x = 25,509,999,242.25
  5. Step 5: Solve for x
    x = 25,509,999,242.25/73,163.25
  6. Step 6: Final answer
    x = 348,672.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.