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Finding the Third Proportional to 118,976 and 184,502

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Solution

The third proportional to 118,976 and 184,502 is: 286,116.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,976 : 184,502 = 184,502 : x
  2. Step 2: Convert to fraction form
    118,976/184,502 = 184,502/x
  3. Step 3: Cross multiply
    118,976x = 184,502 × 184,502
  4. Step 4: Simplify right side
    118,976x = 34,040,988,004
  5. Step 5: Solve for x
    x = 34,040,988,004/118,976
  6. Step 6: Final answer
    x = 286,116.43

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.