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Finding the Third Proportional to 54,513 and 116,791.50

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Solution

The third proportional to 54,513 and 116,791.50 is: 250,220.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,513 : 116,791.50 = 116,791.50 : x
  2. Step 2: Convert to fraction form
    54,513/116,791.50 = 116,791.50/x
  3. Step 3: Cross multiply
    54,513x = 116,791.50 × 116,791.50
  4. Step 4: Simplify right side
    54,513x = 13,640,254,472.25
  5. Step 5: Solve for x
    x = 13,640,254,472.25/54,513
  6. Step 6: Final answer
    x = 250,220.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.