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Finding the Third Proportional to 57,261 and 126,150

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Solution

The third proportional to 57,261 and 126,150 is: 277,917.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,261 : 126,150 = 126,150 : x
  2. Step 2: Convert to fraction form
    57,261/126,150 = 126,150/x
  3. Step 3: Cross multiply
    57,261x = 126,150 × 126,150
  4. Step 4: Simplify right side
    57,261x = 15,913,822,500
  5. Step 5: Solve for x
    x = 15,913,822,500/57,261
  6. Step 6: Final answer
    x = 277,917.30

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