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Finding the Third Proportional to 63,277 and 134,734

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Solution

The third proportional to 63,277 and 134,734 is: 286,885.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,277 : 134,734 = 134,734 : x
  2. Step 2: Convert to fraction form
    63,277/134,734 = 134,734/x
  3. Step 3: Cross multiply
    63,277x = 134,734 × 134,734
  4. Step 4: Simplify right side
    63,277x = 18,153,250,756
  5. Step 5: Solve for x
    x = 18,153,250,756/63,277
  6. Step 6: Final answer
    x = 286,885.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.