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Finding the Third Proportional to 64,372 and 84,846

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Solution

The third proportional to 64,372 and 84,846 is: 111,831.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,372 : 84,846 = 84,846 : x
  2. Step 2: Convert to fraction form
    64,372/84,846 = 84,846/x
  3. Step 3: Cross multiply
    64,372x = 84,846 × 84,846
  4. Step 4: Simplify right side
    64,372x = 7,198,843,716
  5. Step 5: Solve for x
    x = 7,198,843,716/64,372
  6. Step 6: Final answer
    x = 111,831.91

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.