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Finding the Third Proportional to 59.34 and 131.34

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Solution

The third proportional to 59.34 and 131.34 is: 290.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.34 : 131.34 = 131.34 : x
  2. Step 2: Convert to fraction form
    59.34/131.34 = 131.34/x
  3. Step 3: Cross multiply
    59.34x = 131.34 × 131.34
  4. Step 4: Simplify right side
    59.34x = 17,251.18
  5. Step 5: Solve for x
    x = 17,251.18/59.34
  6. Step 6: Final answer
    x = 290.70

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.