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Finding the Third Proportional to 122,742 and 180,225

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Solution

The third proportional to 122,742 and 180,225 is: 264,628.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,742 : 180,225 = 180,225 : x
  2. Step 2: Convert to fraction form
    122,742/180,225 = 180,225/x
  3. Step 3: Cross multiply
    122,742x = 180,225 × 180,225
  4. Step 4: Simplify right side
    122,742x = 32,481,050,625
  5. Step 5: Solve for x
    x = 32,481,050,625/122,742
  6. Step 6: Final answer
    x = 264,628.66

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Why These Related Problems?

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