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Finding the Third Proportional to 55,096.31 and 81,834.47

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Solution

The third proportional to 55,096.31 and 81,834.47 is: 121,548.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,096.31 : 81,834.47 = 81,834.47 : x
  2. Step 2: Convert to fraction form
    55,096.31/81,834.47 = 81,834.47/x
  3. Step 3: Cross multiply
    55,096.31x = 81,834.47 × 81,834.47
  4. Step 4: Simplify right side
    55,096.31x = 6,696,880,275.59
  5. Step 5: Solve for x
    x = 6,696,880,275.59/55,096.31
  6. Step 6: Final answer
    x = 121,548.61

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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.