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Finding the Third Proportional to 59,463 and 81,540.75

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Solution

The third proportional to 59,463 and 81,540.75 is: 111,815.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,463 : 81,540.75 = 81,540.75 : x
  2. Step 2: Convert to fraction form
    59,463/81,540.75 = 81,540.75/x
  3. Step 3: Cross multiply
    59,463x = 81,540.75 × 81,540.75
  4. Step 4: Simplify right side
    59,463x = 6,648,893,910.56
  5. Step 5: Solve for x
    x = 6,648,893,910.56/59,463
  6. Step 6: Final answer
    x = 111,815.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.