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Finding the Third Proportional to 60.19 and 93.94

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Solution

The third proportional to 60.19 and 93.94 is: 146.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.19 : 93.94 = 93.94 : x
  2. Step 2: Convert to fraction form
    60.19/93.94 = 93.94/x
  3. Step 3: Cross multiply
    60.19x = 93.94 × 93.94
  4. Step 4: Simplify right side
    60.19x = 8,824.25
  5. Step 5: Solve for x
    x = 8,824.25/60.19
  6. Step 6: Final answer
    x = 146.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.