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Finding the Third Proportional to 67,754 and 95,324

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Solution

The third proportional to 67,754 and 95,324 is: 134,112.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,754 : 95,324 = 95,324 : x
  2. Step 2: Convert to fraction form
    67,754/95,324 = 95,324/x
  3. Step 3: Cross multiply
    67,754x = 95,324 × 95,324
  4. Step 4: Simplify right side
    67,754x = 9,086,664,976
  5. Step 5: Solve for x
    x = 9,086,664,976/67,754
  6. Step 6: Final answer
    x = 134,112.60

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.