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Finding the Third Proportional to 49,144 and 75,900

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Solution

The third proportional to 49,144 and 75,900 is: 117,223.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,144 : 75,900 = 75,900 : x
  2. Step 2: Convert to fraction form
    49,144/75,900 = 75,900/x
  3. Step 3: Cross multiply
    49,144x = 75,900 × 75,900
  4. Step 4: Simplify right side
    49,144x = 5,760,810,000
  5. Step 5: Solve for x
    x = 5,760,810,000/49,144
  6. Step 6: Final answer
    x = 117,223.06

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.