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Finding the Third Proportional to 63,822 and 132,896

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Solution

The third proportional to 63,822 and 132,896 is: 276,728.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,822 : 132,896 = 132,896 : x
  2. Step 2: Convert to fraction form
    63,822/132,896 = 132,896/x
  3. Step 3: Cross multiply
    63,822x = 132,896 × 132,896
  4. Step 4: Simplify right side
    63,822x = 17,661,346,816
  5. Step 5: Solve for x
    x = 17,661,346,816/63,822
  6. Step 6: Final answer
    x = 276,728.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.