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Finding the Third Proportional to 118,966 and 184,487

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Solution

The third proportional to 118,966 and 184,487 is: 286,093.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,966 : 184,487 = 184,487 : x
  2. Step 2: Convert to fraction form
    118,966/184,487 = 184,487/x
  3. Step 3: Cross multiply
    118,966x = 184,487 × 184,487
  4. Step 4: Simplify right side
    118,966x = 34,035,453,169
  5. Step 5: Solve for x
    x = 34,035,453,169/118,966
  6. Step 6: Final answer
    x = 286,093.95

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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.