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Finding the Third Proportional to 120,840 and 183,924

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Solution

The third proportional to 120,840 and 183,924 is: 279,940.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,840 : 183,924 = 183,924 : x
  2. Step 2: Convert to fraction form
    120,840/183,924 = 183,924/x
  3. Step 3: Cross multiply
    120,840x = 183,924 × 183,924
  4. Step 4: Simplify right side
    120,840x = 33,828,037,776
  5. Step 5: Solve for x
    x = 33,828,037,776/120,840
  6. Step 6: Final answer
    x = 279,940.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.