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Finding the Third Proportional to 92,723 and 139,022

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Solution

The third proportional to 92,723 and 139,022 is: 208,439.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,723 : 139,022 = 139,022 : x
  2. Step 2: Convert to fraction form
    92,723/139,022 = 139,022/x
  3. Step 3: Cross multiply
    92,723x = 139,022 × 139,022
  4. Step 4: Simplify right side
    92,723x = 19,327,116,484
  5. Step 5: Solve for x
    x = 19,327,116,484/92,723
  6. Step 6: Final answer
    x = 208,439.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.