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Finding the Third Proportional to 121,990 and 184,687

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Solution

The third proportional to 121,990 and 184,687 is: 279,607.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,990 : 184,687 = 184,687 : x
  2. Step 2: Convert to fraction form
    121,990/184,687 = 184,687/x
  3. Step 3: Cross multiply
    121,990x = 184,687 × 184,687
  4. Step 4: Simplify right side
    121,990x = 34,109,287,969
  5. Step 5: Solve for x
    x = 34,109,287,969/121,990
  6. Step 6: Final answer
    x = 279,607.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.