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Finding the Third Proportional to 126,900 and 200,796.75

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Solution

The third proportional to 126,900 and 200,796.75 is: 317,725.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,900 : 200,796.75 = 200,796.75 : x
  2. Step 2: Convert to fraction form
    126,900/200,796.75 = 200,796.75/x
  3. Step 3: Cross multiply
    126,900x = 200,796.75 × 200,796.75
  4. Step 4: Simplify right side
    126,900x = 40,319,334,810.56
  5. Step 5: Solve for x
    x = 40,319,334,810.56/126,900
  6. Step 6: Final answer
    x = 317,725.25

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.