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Finding the Third Proportional to 57,856.50 and 126,810

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Solution

The third proportional to 57,856.50 and 126,810 is: 277,942.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,856.50 : 126,810 = 126,810 : x
  2. Step 2: Convert to fraction form
    57,856.50/126,810 = 126,810/x
  3. Step 3: Cross multiply
    57,856.50x = 126,810 × 126,810
  4. Step 4: Simplify right side
    57,856.50x = 16,080,776,100
  5. Step 5: Solve for x
    x = 16,080,776,100/57,856.50
  6. Step 6: Final answer
    x = 277,942.43

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.