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Finding the Third Proportional to 56.06 and 133.97

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Solution

The third proportional to 56.06 and 133.97 is: 320.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.06 : 133.97 = 133.97 : x
  2. Step 2: Convert to fraction form
    56.06/133.97 = 133.97/x
  3. Step 3: Cross multiply
    56.06x = 133.97 × 133.97
  4. Step 4: Simplify right side
    56.06x = 17,947.63
  5. Step 5: Solve for x
    x = 17,947.63/56.06
  6. Step 6: Final answer
    x = 320.14

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.