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Finding the Third Proportional to 126,772 and 189,763

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Solution

The third proportional to 126,772 and 189,763 is: 284,053.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,772 : 189,763 = 189,763 : x
  2. Step 2: Convert to fraction form
    126,772/189,763 = 189,763/x
  3. Step 3: Cross multiply
    126,772x = 189,763 × 189,763
  4. Step 4: Simplify right side
    126,772x = 36,009,996,169
  5. Step 5: Solve for x
    x = 36,009,996,169/126,772
  6. Step 6: Final answer
    x = 284,053.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.