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Finding the Third Proportional to 54,811.69 and 93,084.19

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Solution

The third proportional to 54,811.69 and 93,084.19 is: 158,080.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,811.69 : 93,084.19 = 93,084.19 : x
  2. Step 2: Convert to fraction form
    54,811.69/93,084.19 = 93,084.19/x
  3. Step 3: Cross multiply
    54,811.69x = 93,084.19 × 93,084.19
  4. Step 4: Simplify right side
    54,811.69x = 8,664,665,962.54
  5. Step 5: Solve for x
    x = 8,664,665,962.54/54,811.69
  6. Step 6: Final answer
    x = 158,080.63

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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.