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Finding the Third Proportional to 81,080.25 and 177,432.12

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Solution

The third proportional to 81,080.25 and 177,432.12 is: 388,283.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,080.25 : 177,432.12 = 177,432.12 : x
  2. Step 2: Convert to fraction form
    81,080.25/177,432.12 = 177,432.12/x
  3. Step 3: Cross multiply
    81,080.25x = 177,432.12 × 177,432.12
  4. Step 4: Simplify right side
    81,080.25x = 31,482,157,769.10
  5. Step 5: Solve for x
    x = 31,482,157,769.10/81,080.25
  6. Step 6: Final answer
    x = 388,283.93

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.