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Finding the Third Proportional to 57,099.94 and 125,590.50

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Solution

The third proportional to 57,099.94 and 125,590.50 is: 276,234.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,099.94 : 125,590.50 = 125,590.50 : x
  2. Step 2: Convert to fraction form
    57,099.94/125,590.50 = 125,590.50/x
  3. Step 3: Cross multiply
    57,099.94x = 125,590.50 × 125,590.50
  4. Step 4: Simplify right side
    57,099.94x = 15,772,973,690.25
  5. Step 5: Solve for x
    x = 15,772,973,690.25/57,099.94
  6. Step 6: Final answer
    x = 276,234.52

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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.