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Finding the Third Proportional to 126,848.25 and 200,706.75

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Solution

The third proportional to 126,848.25 and 200,706.75 is: 317,570.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,848.25 : 200,706.75 = 200,706.75 : x
  2. Step 2: Convert to fraction form
    126,848.25/200,706.75 = 200,706.75/x
  3. Step 3: Cross multiply
    126,848.25x = 200,706.75 × 200,706.75
  4. Step 4: Simplify right side
    126,848.25x = 40,283,199,495.56
  5. Step 5: Solve for x
    x = 40,283,199,495.56/126,848.25
  6. Step 6: Final answer
    x = 317,570.01

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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.