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Finding the Third Proportional to 51,132.52 and 108,826.03

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Solution

The third proportional to 51,132.52 and 108,826.03 is: 231,615.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,132.52 : 108,826.03 = 108,826.03 : x
  2. Step 2: Convert to fraction form
    51,132.52/108,826.03 = 108,826.03/x
  3. Step 3: Cross multiply
    51,132.52x = 108,826.03 × 108,826.03
  4. Step 4: Simplify right side
    51,132.52x = 11,843,105,077.63
  5. Step 5: Solve for x
    x = 11,843,105,077.63/51,132.52
  6. Step 6: Final answer
    x = 231,615.93

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.