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Finding the Third Proportional to 125,513.30 and 273,169.97

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Solution

The third proportional to 125,513.30 and 273,169.97 is: 594,533.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,513.30 : 273,169.97 = 273,169.97 : x
  2. Step 2: Convert to fraction form
    125,513.30/273,169.97 = 273,169.97/x
  3. Step 3: Cross multiply
    125,513.30x = 273,169.97 × 273,169.97
  4. Step 4: Simplify right side
    125,513.30x = 74,621,831,826.88
  5. Step 5: Solve for x
    x = 74,621,831,826.88/125,513.30
  6. Step 6: Final answer
    x = 594,533.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.