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Finding the Third Proportional to 51,665.50 and 109,539

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Solution

The third proportional to 51,665.50 and 109,539 is: 232,239.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,665.50 : 109,539 = 109,539 : x
  2. Step 2: Convert to fraction form
    51,665.50/109,539 = 109,539/x
  3. Step 3: Cross multiply
    51,665.50x = 109,539 × 109,539
  4. Step 4: Simplify right side
    51,665.50x = 11,998,792,521
  5. Step 5: Solve for x
    x = 11,998,792,521/51,665.50
  6. Step 6: Final answer
    x = 232,239.94

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.