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Finding the Third Proportional to 72,352.50 and 150,249

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Solution

The third proportional to 72,352.50 and 150,249 is: 312,010.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,352.50 : 150,249 = 150,249 : x
  2. Step 2: Convert to fraction form
    72,352.50/150,249 = 150,249/x
  3. Step 3: Cross multiply
    72,352.50x = 150,249 × 150,249
  4. Step 4: Simplify right side
    72,352.50x = 22,574,762,001
  5. Step 5: Solve for x
    x = 22,574,762,001/72,352.50
  6. Step 6: Final answer
    x = 312,010.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.