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Finding the Third Proportional to 62,514 and 136,760

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Solution

The third proportional to 62,514 and 136,760 is: 299,185.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,514 : 136,760 = 136,760 : x
  2. Step 2: Convert to fraction form
    62,514/136,760 = 136,760/x
  3. Step 3: Cross multiply
    62,514x = 136,760 × 136,760
  4. Step 4: Simplify right side
    62,514x = 18,703,297,600
  5. Step 5: Solve for x
    x = 18,703,297,600/62,514
  6. Step 6: Final answer
    x = 299,185.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.