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Finding the Third Proportional to 81,015.75 and 126,111

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Solution

The third proportional to 81,015.75 and 126,111 is: 196,307.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,015.75 : 126,111 = 126,111 : x
  2. Step 2: Convert to fraction form
    81,015.75/126,111 = 126,111/x
  3. Step 3: Cross multiply
    81,015.75x = 126,111 × 126,111
  4. Step 4: Simplify right side
    81,015.75x = 15,903,984,321
  5. Step 5: Solve for x
    x = 15,903,984,321/81,015.75
  6. Step 6: Final answer
    x = 196,307.31

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.