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Finding the Third Proportional to 60.83 and 133.29

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Solution

The third proportional to 60.83 and 133.29 is: 292.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.83 : 133.29 = 133.29 : x
  2. Step 2: Convert to fraction form
    60.83/133.29 = 133.29/x
  3. Step 3: Cross multiply
    60.83x = 133.29 × 133.29
  4. Step 4: Simplify right side
    60.83x = 17,765.19
  5. Step 5: Solve for x
    x = 17,765.19/60.83
  6. Step 6: Final answer
    x = 292.05

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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.