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Finding the Third Proportional to 120,992 and 186,924

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Solution

The third proportional to 120,992 and 186,924 is: 288,784.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,992 : 186,924 = 186,924 : x
  2. Step 2: Convert to fraction form
    120,992/186,924 = 186,924/x
  3. Step 3: Cross multiply
    120,992x = 186,924 × 186,924
  4. Step 4: Simplify right side
    120,992x = 34,940,581,776
  5. Step 5: Solve for x
    x = 34,940,581,776/120,992
  6. Step 6: Final answer
    x = 288,784.23

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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.