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Finding the Third Proportional to 61,375.22 and 92,290.64

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Solution

The third proportional to 61,375.22 and 92,290.64 is: 138,778.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,375.22 : 92,290.64 = 92,290.64 : x
  2. Step 2: Convert to fraction form
    61,375.22/92,290.64 = 92,290.64/x
  3. Step 3: Cross multiply
    61,375.22x = 92,290.64 × 92,290.64
  4. Step 4: Simplify right side
    61,375.22x = 8,517,562,346.97
  5. Step 5: Solve for x
    x = 8,517,562,346.97/61,375.22
  6. Step 6: Final answer
    x = 138,778.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.