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Finding the Third Proportional to 57,735 and 126,810

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Solution

The third proportional to 57,735 and 126,810 is: 278,527.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,735 : 126,810 = 126,810 : x
  2. Step 2: Convert to fraction form
    57,735/126,810 = 126,810/x
  3. Step 3: Cross multiply
    57,735x = 126,810 × 126,810
  4. Step 4: Simplify right side
    57,735x = 16,080,776,100
  5. Step 5: Solve for x
    x = 16,080,776,100/57,735
  6. Step 6: Final answer
    x = 278,527.34

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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.