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Finding the Third Proportional to 72,942.50 and 150,943

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Solution

The third proportional to 72,942.50 and 150,943 is: 312,352.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,942.50 : 150,943 = 150,943 : x
  2. Step 2: Convert to fraction form
    72,942.50/150,943 = 150,943/x
  3. Step 3: Cross multiply
    72,942.50x = 150,943 × 150,943
  4. Step 4: Simplify right side
    72,942.50x = 22,783,789,249
  5. Step 5: Solve for x
    x = 22,783,789,249/72,942.50
  6. Step 6: Final answer
    x = 312,352.73

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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.