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Finding the Third Proportional to 85,891.50 and 133,745.25

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Solution

The third proportional to 85,891.50 and 133,745.25 is: 208,260.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,891.50 : 133,745.25 = 133,745.25 : x
  2. Step 2: Convert to fraction form
    85,891.50/133,745.25 = 133,745.25/x
  3. Step 3: Cross multiply
    85,891.50x = 133,745.25 × 133,745.25
  4. Step 4: Simplify right side
    85,891.50x = 17,887,791,897.56
  5. Step 5: Solve for x
    x = 17,887,791,897.56/85,891.50
  6. Step 6: Final answer
    x = 208,260.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.