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Finding the Third Proportional to 63,356 and 133,832

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Solution

The third proportional to 63,356 and 133,832 is: 282,704.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,356 : 133,832 = 133,832 : x
  2. Step 2: Convert to fraction form
    63,356/133,832 = 133,832/x
  3. Step 3: Cross multiply
    63,356x = 133,832 × 133,832
  4. Step 4: Simplify right side
    63,356x = 17,911,004,224
  5. Step 5: Solve for x
    x = 17,911,004,224/63,356
  6. Step 6: Final answer
    x = 282,704.15

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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.