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Finding the Third Proportional to 62,383 and 136,844

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Solution

The third proportional to 62,383 and 136,844 is: 300,182.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,383 : 136,844 = 136,844 : x
  2. Step 2: Convert to fraction form
    62,383/136,844 = 136,844/x
  3. Step 3: Cross multiply
    62,383x = 136,844 × 136,844
  4. Step 4: Simplify right side
    62,383x = 18,726,280,336
  5. Step 5: Solve for x
    x = 18,726,280,336/62,383
  6. Step 6: Final answer
    x = 300,182.43

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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.