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Finding the Third Proportional to 124,468 and 192,218

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Solution

The third proportional to 124,468 and 192,218 is: 296,845.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,468 : 192,218 = 192,218 : x
  2. Step 2: Convert to fraction form
    124,468/192,218 = 192,218/x
  3. Step 3: Cross multiply
    124,468x = 192,218 × 192,218
  4. Step 4: Simplify right side
    124,468x = 36,947,759,524
  5. Step 5: Solve for x
    x = 36,947,759,524/124,468
  6. Step 6: Final answer
    x = 296,845.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.