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Finding the Third Proportional to 63,757 and 137,270

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Solution

The third proportional to 63,757 and 137,270 is: 295,544.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,757 : 137,270 = 137,270 : x
  2. Step 2: Convert to fraction form
    63,757/137,270 = 137,270/x
  3. Step 3: Cross multiply
    63,757x = 137,270 × 137,270
  4. Step 4: Simplify right side
    63,757x = 18,843,052,900
  5. Step 5: Solve for x
    x = 18,843,052,900/63,757
  6. Step 6: Final answer
    x = 295,544.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.