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Finding the Third Proportional to 126,976.50 and 186,759

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Solution

The third proportional to 126,976.50 and 186,759 is: 274,688.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,976.50 : 186,759 = 186,759 : x
  2. Step 2: Convert to fraction form
    126,976.50/186,759 = 186,759/x
  3. Step 3: Cross multiply
    126,976.50x = 186,759 × 186,759
  4. Step 4: Simplify right side
    126,976.50x = 34,878,924,081
  5. Step 5: Solve for x
    x = 34,878,924,081/126,976.50
  6. Step 6: Final answer
    x = 274,688.03

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.