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Finding the Third Proportional to 50,078 and 106,300

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Solution

The third proportional to 50,078 and 106,300 is: 225,641.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,078 : 106,300 = 106,300 : x
  2. Step 2: Convert to fraction form
    50,078/106,300 = 106,300/x
  3. Step 3: Cross multiply
    50,078x = 106,300 × 106,300
  4. Step 4: Simplify right side
    50,078x = 11,299,690,000
  5. Step 5: Solve for x
    x = 11,299,690,000/50,078
  6. Step 6: Final answer
    x = 225,641.80

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.