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Finding the Third Proportional to 72.87 and 151.92

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Solution

The third proportional to 72.87 and 151.92 is: 316.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.87 : 151.92 = 151.92 : x
  2. Step 2: Convert to fraction form
    72.87/151.92 = 151.92/x
  3. Step 3: Cross multiply
    72.87x = 151.92 × 151.92
  4. Step 4: Simplify right side
    72.87x = 23,080.26
  5. Step 5: Solve for x
    x = 23,080.26/72.87
  6. Step 6: Final answer
    x = 316.74

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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.