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Finding the Third Proportional to 64,211.75 and 85,201.75

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Solution

The third proportional to 64,211.75 and 85,201.75 is: 113,053.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,211.75 : 85,201.75 = 85,201.75 : x
  2. Step 2: Convert to fraction form
    64,211.75/85,201.75 = 85,201.75/x
  3. Step 3: Cross multiply
    64,211.75x = 85,201.75 × 85,201.75
  4. Step 4: Simplify right side
    64,211.75x = 7,259,338,203.06
  5. Step 5: Solve for x
    x = 7,259,338,203.06/64,211.75
  6. Step 6: Final answer
    x = 113,053.11

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.