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Finding the Third Proportional to 50,272 and 105,710

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Solution

The third proportional to 50,272 and 105,710 is: 222,282.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,272 : 105,710 = 105,710 : x
  2. Step 2: Convert to fraction form
    50,272/105,710 = 105,710/x
  3. Step 3: Cross multiply
    50,272x = 105,710 × 105,710
  4. Step 4: Simplify right side
    50,272x = 11,174,604,100
  5. Step 5: Solve for x
    x = 11,174,604,100/50,272
  6. Step 6: Final answer
    x = 222,282.86

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.