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Finding the Third Proportional to 122,744 and 180,228

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Solution

The third proportional to 122,744 and 180,228 is: 264,633.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,744 : 180,228 = 180,228 : x
  2. Step 2: Convert to fraction form
    122,744/180,228 = 180,228/x
  3. Step 3: Cross multiply
    122,744x = 180,228 × 180,228
  4. Step 4: Simplify right side
    122,744x = 32,482,131,984
  5. Step 5: Solve for x
    x = 32,482,131,984/122,744
  6. Step 6: Final answer
    x = 264,633.16

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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.