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Finding the Third Proportional to 59,754 and 81,195

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Solution

The third proportional to 59,754 and 81,195 is: 110,329.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,754 : 81,195 = 81,195 : x
  2. Step 2: Convert to fraction form
    59,754/81,195 = 81,195/x
  3. Step 3: Cross multiply
    59,754x = 81,195 × 81,195
  4. Step 4: Simplify right side
    59,754x = 6,592,628,025
  5. Step 5: Solve for x
    x = 6,592,628,025/59,754
  6. Step 6: Final answer
    x = 110,329.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.