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Finding the Third Proportional to 118,976 and 184,224

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Solution

The third proportional to 118,976 and 184,224 is: 285,254.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,976 : 184,224 = 184,224 : x
  2. Step 2: Convert to fraction form
    118,976/184,224 = 184,224/x
  3. Step 3: Cross multiply
    118,976x = 184,224 × 184,224
  4. Step 4: Simplify right side
    118,976x = 33,938,482,176
  5. Step 5: Solve for x
    x = 33,938,482,176/118,976
  6. Step 6: Final answer
    x = 285,254.86

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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.