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Finding the Third Proportional to 63,768 and 134,832

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Solution

The third proportional to 63,768 and 134,832 is: 285,090.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,768 : 134,832 = 134,832 : x
  2. Step 2: Convert to fraction form
    63,768/134,832 = 134,832/x
  3. Step 3: Cross multiply
    63,768x = 134,832 × 134,832
  4. Step 4: Simplify right side
    63,768x = 18,179,668,224
  5. Step 5: Solve for x
    x = 18,179,668,224/63,768
  6. Step 6: Final answer
    x = 285,090.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.