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Finding the Third Proportional to 121,172 and 185,994

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Solution

The third proportional to 121,172 and 185,994 is: 285,493.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,172 : 185,994 = 185,994 : x
  2. Step 2: Convert to fraction form
    121,172/185,994 = 185,994/x
  3. Step 3: Cross multiply
    121,172x = 185,994 × 185,994
  4. Step 4: Simplify right side
    121,172x = 34,593,768,036
  5. Step 5: Solve for x
    x = 34,593,768,036/121,172
  6. Step 6: Final answer
    x = 285,493.08

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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.