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Finding the Third Proportional to 60.75 and 131.63

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Solution

The third proportional to 60.75 and 131.63 is: 285.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.75 : 131.63 = 131.63 : x
  2. Step 2: Convert to fraction form
    60.75/131.63 = 131.63/x
  3. Step 3: Cross multiply
    60.75x = 131.63 × 131.63
  4. Step 4: Simplify right side
    60.75x = 17,325.14
  5. Step 5: Solve for x
    x = 17,325.14/60.75
  6. Step 6: Final answer
    x = 285.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.