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Finding the Third Proportional to 62,869 and 136,970

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Solution

The third proportional to 62,869 and 136,970 is: 298,410.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,869 : 136,970 = 136,970 : x
  2. Step 2: Convert to fraction form
    62,869/136,970 = 136,970/x
  3. Step 3: Cross multiply
    62,869x = 136,970 × 136,970
  4. Step 4: Simplify right side
    62,869x = 18,760,780,900
  5. Step 5: Solve for x
    x = 18,760,780,900/62,869
  6. Step 6: Final answer
    x = 298,410.68

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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.