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Finding the Third Proportional to 122,851.69 and 185,143.22

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Solution

The third proportional to 122,851.69 and 185,143.22 is: 279,019.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,851.69 : 185,143.22 = 185,143.22 : x
  2. Step 2: Convert to fraction form
    122,851.69/185,143.22 = 185,143.22/x
  3. Step 3: Cross multiply
    122,851.69x = 185,143.22 × 185,143.22
  4. Step 4: Simplify right side
    122,851.69x = 34,278,011,449.11
  5. Step 5: Solve for x
    x = 34,278,011,449.11/122,851.69
  6. Step 6: Final answer
    x = 279,019.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.