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Finding the Third Proportional to 72.45 and 150.87

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Solution

The third proportional to 72.45 and 150.87 is: 314.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.45 : 150.87 = 150.87 : x
  2. Step 2: Convert to fraction form
    72.45/150.87 = 150.87/x
  3. Step 3: Cross multiply
    72.45x = 150.87 × 150.87
  4. Step 4: Simplify right side
    72.45x = 22,760.91
  5. Step 5: Solve for x
    x = 22,760.91/72.45
  6. Step 6: Final answer
    x = 314.18

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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.