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Finding the Third Proportional to 55,267.31 and 129,911.34

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Solution

The third proportional to 55,267.31 and 129,911.34 is: 305,369.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,267.31 : 129,911.34 = 129,911.34 : x
  2. Step 2: Convert to fraction form
    55,267.31/129,911.34 = 129,911.34/x
  3. Step 3: Cross multiply
    55,267.31x = 129,911.34 × 129,911.34
  4. Step 4: Simplify right side
    55,267.31x = 16,876,957,234.93
  5. Step 5: Solve for x
    x = 16,876,957,234.93/55,267.31
  6. Step 6: Final answer
    x = 305,369.60

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.