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Finding the Third Proportional to 64,211.25 and 85,201.13

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Solution

The third proportional to 64,211.25 and 85,201.13 is: 113,052.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,211.25 : 85,201.13 = 85,201.13 : x
  2. Step 2: Convert to fraction form
    64,211.25/85,201.13 = 85,201.13/x
  3. Step 3: Cross multiply
    64,211.25x = 85,201.13 × 85,201.13
  4. Step 4: Simplify right side
    64,211.25x = 7,259,231,701.27
  5. Step 5: Solve for x
    x = 7,259,231,701.27/64,211.25
  6. Step 6: Final answer
    x = 113,052.33

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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.