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Finding the Third Proportional to 126,015.75 and 199,636.88

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Solution

The third proportional to 126,015.75 and 199,636.88 is: 316,269.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,015.75 : 199,636.88 = 199,636.88 : x
  2. Step 2: Convert to fraction form
    126,015.75/199,636.88 = 199,636.88/x
  3. Step 3: Cross multiply
    126,015.75x = 199,636.88 × 199,636.88
  4. Step 4: Simplify right side
    126,015.75x = 39,854,881,859.77
  5. Step 5: Solve for x
    x = 39,854,881,859.77/126,015.75
  6. Step 6: Final answer
    x = 316,269.05

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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.