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Finding the Third Proportional to 125,664.75 and 273,910.50

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Solution

The third proportional to 125,664.75 and 273,910.50 is: 597,040.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,664.75 : 273,910.50 = 273,910.50 : x
  2. Step 2: Convert to fraction form
    125,664.75/273,910.50 = 273,910.50/x
  3. Step 3: Cross multiply
    125,664.75x = 273,910.50 × 273,910.50
  4. Step 4: Simplify right side
    125,664.75x = 75,026,962,010.25
  5. Step 5: Solve for x
    x = 75,026,962,010.25/125,664.75
  6. Step 6: Final answer
    x = 597,040.63

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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.