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Finding the Third Proportional to 122,072 and 188,638

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Solution

The third proportional to 122,072 and 188,638 is: 291,502.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,072 : 188,638 = 188,638 : x
  2. Step 2: Convert to fraction form
    122,072/188,638 = 188,638/x
  3. Step 3: Cross multiply
    122,072x = 188,638 × 188,638
  4. Step 4: Simplify right side
    122,072x = 35,584,295,044
  5. Step 5: Solve for x
    x = 35,584,295,044/122,072
  6. Step 6: Final answer
    x = 291,502.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.