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Finding the Third Proportional to 125,661.75 and 273,904.50

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Solution

The third proportional to 125,661.75 and 273,904.50 is: 597,028.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,661.75 : 273,904.50 = 273,904.50 : x
  2. Step 2: Convert to fraction form
    125,661.75/273,904.50 = 273,904.50/x
  3. Step 3: Cross multiply
    125,661.75x = 273,904.50 × 273,904.50
  4. Step 4: Simplify right side
    125,661.75x = 75,023,675,120.25
  5. Step 5: Solve for x
    x = 75,023,675,120.25/125,661.75
  6. Step 6: Final answer
    x = 597,028.73

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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.