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Finding the Third Proportional to 81,096.19 and 174,179.53

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Solution

The third proportional to 81,096.19 and 174,179.53 is: 374,105.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,096.19 : 174,179.53 = 174,179.53 : x
  2. Step 2: Convert to fraction form
    81,096.19/174,179.53 = 174,179.53/x
  3. Step 3: Cross multiply
    81,096.19x = 174,179.53 × 174,179.53
  4. Step 4: Simplify right side
    81,096.19x = 30,338,509,106.47
  5. Step 5: Solve for x
    x = 30,338,509,106.47/81,096.19
  6. Step 6: Final answer
    x = 374,105.25

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.