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Finding the Third Proportional to 75.94 and 156.94

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Solution

The third proportional to 75.94 and 156.94 is: 324.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.94 : 156.94 = 156.94 : x
  2. Step 2: Convert to fraction form
    75.94/156.94 = 156.94/x
  3. Step 3: Cross multiply
    75.94x = 156.94 × 156.94
  4. Step 4: Simplify right side
    75.94x = 24,629.38
  5. Step 5: Solve for x
    x = 24,629.38/75.94
  6. Step 6: Final answer
    x = 324.34

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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.