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Finding the Third Proportional to 50,225.06 and 77,818.22

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Solution

The third proportional to 50,225.06 and 77,818.22 is: 120,570.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,225.06 : 77,818.22 = 77,818.22 : x
  2. Step 2: Convert to fraction form
    50,225.06/77,818.22 = 77,818.22/x
  3. Step 3: Cross multiply
    50,225.06x = 77,818.22 × 77,818.22
  4. Step 4: Simplify right side
    50,225.06x = 6,055,675,169.42
  5. Step 5: Solve for x
    x = 6,055,675,169.42/50,225.06
  6. Step 6: Final answer
    x = 120,570.78

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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.