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Finding the Third Proportional to 62,886 and 85,449

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Solution

The third proportional to 62,886 and 85,449 is: 116,107.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,886 : 85,449 = 85,449 : x
  2. Step 2: Convert to fraction form
    62,886/85,449 = 85,449/x
  3. Step 3: Cross multiply
    62,886x = 85,449 × 85,449
  4. Step 4: Simplify right side
    62,886x = 7,301,531,601
  5. Step 5: Solve for x
    x = 7,301,531,601/62,886
  6. Step 6: Final answer
    x = 116,107.43

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.