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Finding the Third Proportional to 62,670 and 136,383

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Solution

The third proportional to 62,670 and 136,383 is: 296,797.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,670 : 136,383 = 136,383 : x
  2. Step 2: Convert to fraction form
    62,670/136,383 = 136,383/x
  3. Step 3: Cross multiply
    62,670x = 136,383 × 136,383
  4. Step 4: Simplify right side
    62,670x = 18,600,322,689
  5. Step 5: Solve for x
    x = 18,600,322,689/62,670
  6. Step 6: Final answer
    x = 296,797.87

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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.