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Finding the Third Proportional to 61,301.25 and 82,379.25

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Solution

The third proportional to 61,301.25 and 82,379.25 is: 110,704.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,301.25 : 82,379.25 = 82,379.25 : x
  2. Step 2: Convert to fraction form
    61,301.25/82,379.25 = 82,379.25/x
  3. Step 3: Cross multiply
    61,301.25x = 82,379.25 × 82,379.25
  4. Step 4: Simplify right side
    61,301.25x = 6,786,340,830.56
  5. Step 5: Solve for x
    x = 6,786,340,830.56/61,301.25
  6. Step 6: Final answer
    x = 110,704.77

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.