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Finding the Third Proportional to 120,994 and 186,927

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Solution

The third proportional to 120,994 and 186,927 is: 288,788.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,994 : 186,927 = 186,927 : x
  2. Step 2: Convert to fraction form
    120,994/186,927 = 186,927/x
  3. Step 3: Cross multiply
    120,994x = 186,927 × 186,927
  4. Step 4: Simplify right side
    120,994x = 34,941,703,329
  5. Step 5: Solve for x
    x = 34,941,703,329/120,994
  6. Step 6: Final answer
    x = 288,788.73

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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.