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Finding the Third Proportional to 54,153.75 and 118,769.25

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Solution

The third proportional to 54,153.75 and 118,769.25 is: 260,483.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,153.75 : 118,769.25 = 118,769.25 : x
  2. Step 2: Convert to fraction form
    54,153.75/118,769.25 = 118,769.25/x
  3. Step 3: Cross multiply
    54,153.75x = 118,769.25 × 118,769.25
  4. Step 4: Simplify right side
    54,153.75x = 14,106,134,745.56
  5. Step 5: Solve for x
    x = 14,106,134,745.56/54,153.75
  6. Step 6: Final answer
    x = 260,483.06

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Why These Related Problems?

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