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Finding the Third Proportional to 51,652.69 and 109,517.06

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Solution

The third proportional to 51,652.69 and 109,517.06 is: 232,204.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,652.69 : 109,517.06 = 109,517.06 : x
  2. Step 2: Convert to fraction form
    51,652.69/109,517.06 = 109,517.06/x
  3. Step 3: Cross multiply
    51,652.69x = 109,517.06 × 109,517.06
  4. Step 4: Simplify right side
    51,652.69x = 11,993,986,978.63
  5. Step 5: Solve for x
    x = 11,993,986,978.63/51,652.69
  6. Step 6: Final answer
    x = 232,204.51

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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.