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Finding the Third Proportional to 50,978 and 119,943

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Solution

The third proportional to 50,978 and 119,943 is: 282,206.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,978 : 119,943 = 119,943 : x
  2. Step 2: Convert to fraction form
    50,978/119,943 = 119,943/x
  3. Step 3: Cross multiply
    50,978x = 119,943 × 119,943
  4. Step 4: Simplify right side
    50,978x = 14,386,323,249
  5. Step 5: Solve for x
    x = 14,386,323,249/50,978
  6. Step 6: Final answer
    x = 282,206.51

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