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Finding the Third Proportional to 62,963 and 137,003

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Solution

The third proportional to 62,963 and 137,003 is: 298,108.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,963 : 137,003 = 137,003 : x
  2. Step 2: Convert to fraction form
    62,963/137,003 = 137,003/x
  3. Step 3: Cross multiply
    62,963x = 137,003 × 137,003
  4. Step 4: Simplify right side
    62,963x = 18,769,822,009
  5. Step 5: Solve for x
    x = 18,769,822,009/62,963
  6. Step 6: Final answer
    x = 298,108.76

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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.