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Finding the Third Proportional to 119,126 and 184,287

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Solution

The third proportional to 119,126 and 184,287 is: 285,090.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,126 : 184,287 = 184,287 : x
  2. Step 2: Convert to fraction form
    119,126/184,287 = 184,287/x
  3. Step 3: Cross multiply
    119,126x = 184,287 × 184,287
  4. Step 4: Simplify right side
    119,126x = 33,961,698,369
  5. Step 5: Solve for x
    x = 33,961,698,369/119,126
  6. Step 6: Final answer
    x = 285,090.56

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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.