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Finding the Third Proportional to 122,350 and 185,212

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Solution

The third proportional to 122,350 and 185,212 is: 280,371.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,350 : 185,212 = 185,212 : x
  2. Step 2: Convert to fraction form
    122,350/185,212 = 185,212/x
  3. Step 3: Cross multiply
    122,350x = 185,212 × 185,212
  4. Step 4: Simplify right side
    122,350x = 34,303,484,944
  5. Step 5: Solve for x
    x = 34,303,484,944/122,350
  6. Step 6: Final answer
    x = 280,371.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.