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Finding the Third Proportional to 60.89 and 128.81

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Solution

The third proportional to 60.89 and 128.81 is: 272.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.89 : 128.81 = 128.81 : x
  2. Step 2: Convert to fraction form
    60.89/128.81 = 128.81/x
  3. Step 3: Cross multiply
    60.89x = 128.81 × 128.81
  4. Step 4: Simplify right side
    60.89x = 16,592.66
  5. Step 5: Solve for x
    x = 16,592.66/60.89
  6. Step 6: Final answer
    x = 272.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.