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Finding the Third Proportional to 60.05 and 93.16

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Solution

The third proportional to 60.05 and 93.16 is: 144.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.05 : 93.16 = 93.16 : x
  2. Step 2: Convert to fraction form
    60.05/93.16 = 93.16/x
  3. Step 3: Cross multiply
    60.05x = 93.16 × 93.16
  4. Step 4: Simplify right side
    60.05x = 8,679.54
  5. Step 5: Solve for x
    x = 8,679.54/60.05
  6. Step 6: Final answer
    x = 144.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.