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Finding the Third Proportional to 49.08 and 107.02

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Solution

The third proportional to 49.08 and 107.02 is: 233.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.08 : 107.02 = 107.02 : x
  2. Step 2: Convert to fraction form
    49.08/107.02 = 107.02/x
  3. Step 3: Cross multiply
    49.08x = 107.02 × 107.02
  4. Step 4: Simplify right side
    49.08x = 11,452.34
  5. Step 5: Solve for x
    x = 11,452.34/49.08
  6. Step 6: Final answer
    x = 233.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.