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Finding the Third Proportional to 125,546 and 192,327

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Solution

The third proportional to 125,546 and 192,327 is: 294,630.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,546 : 192,327 = 192,327 : x
  2. Step 2: Convert to fraction form
    125,546/192,327 = 192,327/x
  3. Step 3: Cross multiply
    125,546x = 192,327 × 192,327
  4. Step 4: Simplify right side
    125,546x = 36,989,674,929
  5. Step 5: Solve for x
    x = 36,989,674,929/125,546
  6. Step 6: Final answer
    x = 294,630.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.