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Finding the Third Proportional to 115,934 and 184,277

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Solution

The third proportional to 115,934 and 184,277 is: 292,908.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,934 : 184,277 = 184,277 : x
  2. Step 2: Convert to fraction form
    115,934/184,277 = 184,277/x
  3. Step 3: Cross multiply
    115,934x = 184,277 × 184,277
  4. Step 4: Simplify right side
    115,934x = 33,958,012,729
  5. Step 5: Solve for x
    x = 33,958,012,729/115,934
  6. Step 6: Final answer
    x = 292,908.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.