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Finding the Third Proportional to 49.50 and 114.13

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Solution

The third proportional to 49.50 and 114.13 is: 263.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.50 : 114.13 = 114.13 : x
  2. Step 2: Convert to fraction form
    49.50/114.13 = 114.13/x
  3. Step 3: Cross multiply
    49.50x = 114.13 × 114.13
  4. Step 4: Simplify right side
    49.50x = 13,024.52
  5. Step 5: Solve for x
    x = 13,024.52/49.50
  6. Step 6: Final answer
    x = 263.12

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.