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Finding the Third Proportional to 72,483.50 and 149,939

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Solution

The third proportional to 72,483.50 and 149,939 is: 310,163.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,483.50 : 149,939 = 149,939 : x
  2. Step 2: Convert to fraction form
    72,483.50/149,939 = 149,939/x
  3. Step 3: Cross multiply
    72,483.50x = 149,939 × 149,939
  4. Step 4: Simplify right side
    72,483.50x = 22,481,703,721
  5. Step 5: Solve for x
    x = 22,481,703,721/72,483.50
  6. Step 6: Final answer
    x = 310,163.05

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.