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Finding the Third Proportional to 81,932.63 and 110,697.19

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Solution

The third proportional to 81,932.63 and 110,697.19 is: 149,560.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,932.63 : 110,697.19 = 110,697.19 : x
  2. Step 2: Convert to fraction form
    81,932.63/110,697.19 = 110,697.19/x
  3. Step 3: Cross multiply
    81,932.63x = 110,697.19 × 110,697.19
  4. Step 4: Simplify right side
    81,932.63x = 12,253,867,320.41
  5. Step 5: Solve for x
    x = 12,253,867,320.41/81,932.63
  6. Step 6: Final answer
    x = 149,560.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.