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Finding the Third Proportional to 49,926 and 109,002

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Solution

The third proportional to 49,926 and 109,002 is: 237,980.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,926 : 109,002 = 109,002 : x
  2. Step 2: Convert to fraction form
    49,926/109,002 = 109,002/x
  3. Step 3: Cross multiply
    49,926x = 109,002 × 109,002
  4. Step 4: Simplify right side
    49,926x = 11,881,436,004
  5. Step 5: Solve for x
    x = 11,881,436,004/49,926
  6. Step 6: Final answer
    x = 237,980.93

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.