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Finding the Third Proportional to 127,071 and 189,990

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Solution

The third proportional to 127,071 and 189,990 is: 284,063.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,071 : 189,990 = 189,990 : x
  2. Step 2: Convert to fraction form
    127,071/189,990 = 189,990/x
  3. Step 3: Cross multiply
    127,071x = 189,990 × 189,990
  4. Step 4: Simplify right side
    127,071x = 36,096,200,100
  5. Step 5: Solve for x
    x = 36,096,200,100/127,071
  6. Step 6: Final answer
    x = 284,063.24

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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.