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Finding the Third Proportional to 53,697.28 and 81,224.34

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Solution

The third proportional to 53,697.28 and 81,224.34 is: 122,862.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,697.28 : 81,224.34 = 81,224.34 : x
  2. Step 2: Convert to fraction form
    53,697.28/81,224.34 = 81,224.34/x
  3. Step 3: Cross multiply
    53,697.28x = 81,224.34 × 81,224.34
  4. Step 4: Simplify right side
    53,697.28x = 6,597,394,017.62
  5. Step 5: Solve for x
    x = 6,597,394,017.62/53,697.28
  6. Step 6: Final answer
    x = 122,862.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.