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Finding the Third Proportional to 73,830.23 and 114,540.33

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Solution

The third proportional to 73,830.23 and 114,540.33 is: 177,698.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,830.23 : 114,540.33 = 114,540.33 : x
  2. Step 2: Convert to fraction form
    73,830.23/114,540.33 = 114,540.33/x
  3. Step 3: Cross multiply
    73,830.23x = 114,540.33 × 114,540.33
  4. Step 4: Simplify right side
    73,830.23x = 13,119,486,766.98
  5. Step 5: Solve for x
    x = 13,119,486,766.98/73,830.23
  6. Step 6: Final answer
    x = 177,698.02

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.