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Finding the Third Proportional to 140,282 and 189,003

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Solution

The third proportional to 140,282 and 189,003 is: 254,645.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,282 : 189,003 = 189,003 : x
  2. Step 2: Convert to fraction form
    140,282/189,003 = 189,003/x
  3. Step 3: Cross multiply
    140,282x = 189,003 × 189,003
  4. Step 4: Simplify right side
    140,282x = 35,722,134,009
  5. Step 5: Solve for x
    x = 35,722,134,009/140,282
  6. Step 6: Final answer
    x = 254,645.17

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.