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Finding the Third Proportional to 55.13 and 142.19

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Solution

The third proportional to 55.13 and 142.19 is: 366.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.13 : 142.19 = 142.19 : x
  2. Step 2: Convert to fraction form
    55.13/142.19 = 142.19/x
  3. Step 3: Cross multiply
    55.13x = 142.19 × 142.19
  4. Step 4: Simplify right side
    55.13x = 20,217.29
  5. Step 5: Solve for x
    x = 20,217.29/55.13
  6. Step 6: Final answer
    x = 366.75

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Why These Related Problems?

These problems maintain the same ratio (2.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.