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Finding the Third Proportional to 60.49 and 132.30

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Solution

The third proportional to 60.49 and 132.30 is: 289.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.49 : 132.30 = 132.30 : x
  2. Step 2: Convert to fraction form
    60.49/132.30 = 132.30/x
  3. Step 3: Cross multiply
    60.49x = 132.30 × 132.30
  4. Step 4: Simplify right side
    60.49x = 17,504.53
  5. Step 5: Solve for x
    x = 17,504.53/60.49
  6. Step 6: Final answer
    x = 289.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.