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Finding the Third Proportional to 120,824 and 185,797

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Solution

The third proportional to 120,824 and 185,797 is: 285,709.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,824 : 185,797 = 185,797 : x
  2. Step 2: Convert to fraction form
    120,824/185,797 = 185,797/x
  3. Step 3: Cross multiply
    120,824x = 185,797 × 185,797
  4. Step 4: Simplify right side
    120,824x = 34,520,525,209
  5. Step 5: Solve for x
    x = 34,520,525,209/120,824
  6. Step 6: Final answer
    x = 285,709.17

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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.