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Finding the Third Proportional to 54,155.25 and 118,772.25

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Solution

The third proportional to 54,155.25 and 118,772.25 is: 260,489.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,155.25 : 118,772.25 = 118,772.25 : x
  2. Step 2: Convert to fraction form
    54,155.25/118,772.25 = 118,772.25/x
  3. Step 3: Cross multiply
    54,155.25x = 118,772.25 × 118,772.25
  4. Step 4: Simplify right side
    54,155.25x = 14,106,847,370.06
  5. Step 5: Solve for x
    x = 14,106,847,370.06/54,155.25
  6. Step 6: Final answer
    x = 260,489.01

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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.