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Finding the Third Proportional to 54,221.06 and 81,012.66

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Solution

The third proportional to 54,221.06 and 81,012.66 is: 121,042.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,221.06 : 81,012.66 = 81,012.66 : x
  2. Step 2: Convert to fraction form
    54,221.06/81,012.66 = 81,012.66/x
  3. Step 3: Cross multiply
    54,221.06x = 81,012.66 × 81,012.66
  4. Step 4: Simplify right side
    54,221.06x = 6,563,050,472.68
  5. Step 5: Solve for x
    x = 6,563,050,472.68/54,221.06
  6. Step 6: Final answer
    x = 121,042.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.