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Finding the Third Proportional to 63,568 and 136,832

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Solution

The third proportional to 63,568 and 136,832 is: 294,534.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,568 : 136,832 = 136,832 : x
  2. Step 2: Convert to fraction form
    63,568/136,832 = 136,832/x
  3. Step 3: Cross multiply
    63,568x = 136,832 × 136,832
  4. Step 4: Simplify right side
    63,568x = 18,722,996,224
  5. Step 5: Solve for x
    x = 18,722,996,224/63,568
  6. Step 6: Final answer
    x = 294,534.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.