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Finding the Third Proportional to 49.90 and 117.15

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Solution

The third proportional to 49.90 and 117.15 is: 275.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.90 : 117.15 = 117.15 : x
  2. Step 2: Convert to fraction form
    49.90/117.15 = 117.15/x
  3. Step 3: Cross multiply
    49.90x = 117.15 × 117.15
  4. Step 4: Simplify right side
    49.90x = 13,723.64
  5. Step 5: Solve for x
    x = 13,723.64/49.90
  6. Step 6: Final answer
    x = 275.04

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.