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Finding the Third Proportional to 122,143 and 269,133

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Solution

The third proportional to 122,143 and 269,133 is: 593,014.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,143 : 269,133 = 269,133 : x
  2. Step 2: Convert to fraction form
    122,143/269,133 = 269,133/x
  3. Step 3: Cross multiply
    122,143x = 269,133 × 269,133
  4. Step 4: Simplify right side
    122,143x = 72,432,571,689
  5. Step 5: Solve for x
    x = 72,432,571,689/122,143
  6. Step 6: Final answer
    x = 593,014.51

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.