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Finding the Third Proportional to 54,744.75 and 93,467.81

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Solution

The third proportional to 54,744.75 and 93,467.81 is: 159,581.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,744.75 : 93,467.81 = 93,467.81 : x
  2. Step 2: Convert to fraction form
    54,744.75/93,467.81 = 93,467.81/x
  3. Step 3: Cross multiply
    54,744.75x = 93,467.81 × 93,467.81
  4. Step 4: Simplify right side
    54,744.75x = 8,736,231,973.54
  5. Step 5: Solve for x
    x = 8,736,231,973.54/54,744.75
  6. Step 6: Final answer
    x = 159,581.18

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These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.