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Finding the Third Proportional to 60 and 130.25

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Solution

The third proportional to 60 and 130.25 is: 282.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    60 : 130.25 = 130.25 : x
  2. Step 2: Convert to fraction form
    60/130.25 = 130.25/x
  3. Step 3: Cross multiply
    60x = 130.25 × 130.25
  4. Step 4: Simplify right side
    60x = 16,965.06
  5. Step 5: Solve for x
    x = 16,965.06/60
  6. Step 6: Final answer
    x = 282.75

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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.