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Finding the Third Proportional to 62,869 and 83,933

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Solution

The third proportional to 62,869 and 83,933 is: 112,054.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,869 : 83,933 = 83,933 : x
  2. Step 2: Convert to fraction form
    62,869/83,933 = 83,933/x
  3. Step 3: Cross multiply
    62,869x = 83,933 × 83,933
  4. Step 4: Simplify right side
    62,869x = 7,044,748,489
  5. Step 5: Solve for x
    x = 7,044,748,489/62,869
  6. Step 6: Final answer
    x = 112,054.41

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.