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Finding the Third Proportional to 71.63 and 150.94

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Solution

The third proportional to 71.63 and 150.94 is: 318.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.63 : 150.94 = 150.94 : x
  2. Step 2: Convert to fraction form
    71.63/150.94 = 150.94/x
  3. Step 3: Cross multiply
    71.63x = 150.94 × 150.94
  4. Step 4: Simplify right side
    71.63x = 22,782.13
  5. Step 5: Solve for x
    x = 22,782.13/71.63
  6. Step 6: Final answer
    x = 318.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.