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Finding the Third Proportional to 122,683 and 173,977

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Solution

The third proportional to 122,683 and 173,977 is: 246,717.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,683 : 173,977 = 173,977 : x
  2. Step 2: Convert to fraction form
    122,683/173,977 = 173,977/x
  3. Step 3: Cross multiply
    122,683x = 173,977 × 173,977
  4. Step 4: Simplify right side
    122,683x = 30,267,996,529
  5. Step 5: Solve for x
    x = 30,267,996,529/122,683
  6. Step 6: Final answer
    x = 246,717.12

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.