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Finding the Third Proportional to 55,502.25 and 81,177.75

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Solution

The third proportional to 55,502.25 and 81,177.75 is: 118,730.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,502.25 : 81,177.75 = 81,177.75 : x
  2. Step 2: Convert to fraction form
    55,502.25/81,177.75 = 81,177.75/x
  3. Step 3: Cross multiply
    55,502.25x = 81,177.75 × 81,177.75
  4. Step 4: Simplify right side
    55,502.25x = 6,589,827,095.06
  5. Step 5: Solve for x
    x = 6,589,827,095.06/55,502.25
  6. Step 6: Final answer
    x = 118,730.81

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.