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Finding the Third Proportional to 125,505 and 276,027.75

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Solution

The third proportional to 125,505 and 276,027.75 is: 607,077.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,505 : 276,027.75 = 276,027.75 : x
  2. Step 2: Convert to fraction form
    125,505/276,027.75 = 276,027.75/x
  3. Step 3: Cross multiply
    125,505x = 276,027.75 × 276,027.75
  4. Step 4: Simplify right side
    125,505x = 76,191,318,770.06
  5. Step 5: Solve for x
    x = 76,191,318,770.06/125,505
  6. Step 6: Final answer
    x = 607,077.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.