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Finding the Third Proportional to 62,675 and 136,783

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Solution

The third proportional to 62,675 and 136,783 is: 298,517.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,675 : 136,783 = 136,783 : x
  2. Step 2: Convert to fraction form
    62,675/136,783 = 136,783/x
  3. Step 3: Cross multiply
    62,675x = 136,783 × 136,783
  4. Step 4: Simplify right side
    62,675x = 18,709,589,089
  5. Step 5: Solve for x
    x = 18,709,589,089/62,675
  6. Step 6: Final answer
    x = 298,517.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.