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Finding the Third Proportional to 59,512 and 81,604

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Solution

The third proportional to 59,512 and 81,604 is: 111,896.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,512 : 81,604 = 81,604 : x
  2. Step 2: Convert to fraction form
    59,512/81,604 = 81,604/x
  3. Step 3: Cross multiply
    59,512x = 81,604 × 81,604
  4. Step 4: Simplify right side
    59,512x = 6,659,212,816
  5. Step 5: Solve for x
    x = 6,659,212,816/59,512
  6. Step 6: Final answer
    x = 111,896.98

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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.