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Finding the Third Proportional to 119,124 and 184,284

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Solution

The third proportional to 119,124 and 184,284 is: 285,086.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,124 : 184,284 = 184,284 : x
  2. Step 2: Convert to fraction form
    119,124/184,284 = 184,284/x
  3. Step 3: Cross multiply
    119,124x = 184,284 × 184,284
  4. Step 4: Simplify right side
    119,124x = 33,960,592,656
  5. Step 5: Solve for x
    x = 33,960,592,656/119,124
  6. Step 6: Final answer
    x = 285,086.07

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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.