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Finding the Third Proportional to 72,355.50 and 150,167.25

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Solution

The third proportional to 72,355.50 and 150,167.25 is: 311,658.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,355.50 : 150,167.25 = 150,167.25 : x
  2. Step 2: Convert to fraction form
    72,355.50/150,167.25 = 150,167.25/x
  3. Step 3: Cross multiply
    72,355.50x = 150,167.25 × 150,167.25
  4. Step 4: Simplify right side
    72,355.50x = 22,550,202,972.56
  5. Step 5: Solve for x
    x = 22,550,202,972.56/72,355.50
  6. Step 6: Final answer
    x = 311,658.45

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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.