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Finding the Third Proportional to 55.34 and 125.02

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Solution

The third proportional to 55.34 and 125.02 is: 282.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.34 : 125.02 = 125.02 : x
  2. Step 2: Convert to fraction form
    55.34/125.02 = 125.02/x
  3. Step 3: Cross multiply
    55.34x = 125.02 × 125.02
  4. Step 4: Simplify right side
    55.34x = 15,628.91
  5. Step 5: Solve for x
    x = 15,628.91/55.34
  6. Step 6: Final answer
    x = 282.44

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.