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Finding the Third Proportional to 122,192 and 191,543

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Solution

The third proportional to 122,192 and 191,543 is: 300,254.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,192 : 191,543 = 191,543 : x
  2. Step 2: Convert to fraction form
    122,192/191,543 = 191,543/x
  3. Step 3: Cross multiply
    122,192x = 191,543 × 191,543
  4. Step 4: Simplify right side
    122,192x = 36,688,720,849
  5. Step 5: Solve for x
    x = 36,688,720,849/122,192
  6. Step 6: Final answer
    x = 300,254.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.