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Finding the Third Proportional to 63,767 and 134,448

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Solution

The third proportional to 63,767 and 134,448 is: 283,473.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,767 : 134,448 = 134,448 : x
  2. Step 2: Convert to fraction form
    63,767/134,448 = 134,448/x
  3. Step 3: Cross multiply
    63,767x = 134,448 × 134,448
  4. Step 4: Simplify right side
    63,767x = 18,076,264,704
  5. Step 5: Solve for x
    x = 18,076,264,704/63,767
  6. Step 6: Final answer
    x = 283,473.66

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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.