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Finding the Third Proportional to 50,051 and 108,837

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Solution

The third proportional to 50,051 and 108,837 is: 236,668.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,051 : 108,837 = 108,837 : x
  2. Step 2: Convert to fraction form
    50,051/108,837 = 108,837/x
  3. Step 3: Cross multiply
    50,051x = 108,837 × 108,837
  4. Step 4: Simplify right side
    50,051x = 11,845,492,569
  5. Step 5: Solve for x
    x = 11,845,492,569/50,051
  6. Step 6: Final answer
    x = 236,668.45

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.