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Finding the Third Proportional to 118,987 and 184,241

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Solution

The third proportional to 118,987 and 184,241 is: 285,281.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,987 : 184,241 = 184,241 : x
  2. Step 2: Convert to fraction form
    118,987/184,241 = 184,241/x
  3. Step 3: Cross multiply
    118,987x = 184,241 × 184,241
  4. Step 4: Simplify right side
    118,987x = 33,944,746,081
  5. Step 5: Solve for x
    x = 33,944,746,081/118,987
  6. Step 6: Final answer
    x = 285,281.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.