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Finding the Third Proportional to 63,878 and 134,377

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Solution

The third proportional to 63,878 and 134,377 is: 282,682.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,878 : 134,377 = 134,377 : x
  2. Step 2: Convert to fraction form
    63,878/134,377 = 134,377/x
  3. Step 3: Cross multiply
    63,878x = 134,377 × 134,377
  4. Step 4: Simplify right side
    63,878x = 18,057,178,129
  5. Step 5: Solve for x
    x = 18,057,178,129/63,878
  6. Step 6: Final answer
    x = 282,682.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.