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Finding the Third Proportional to 62,855 and 85,899

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Solution

The third proportional to 62,855 and 85,899 is: 117,391.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,855 : 85,899 = 85,899 : x
  2. Step 2: Convert to fraction form
    62,855/85,899 = 85,899/x
  3. Step 3: Cross multiply
    62,855x = 85,899 × 85,899
  4. Step 4: Simplify right side
    62,855x = 7,378,638,201
  5. Step 5: Solve for x
    x = 7,378,638,201/62,855
  6. Step 6: Final answer
    x = 117,391.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.