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Finding the Third Proportional to 118,715 and 184,881

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Solution

The third proportional to 118,715 and 184,881 is: 287,924.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,715 : 184,881 = 184,881 : x
  2. Step 2: Convert to fraction form
    118,715/184,881 = 184,881/x
  3. Step 3: Cross multiply
    118,715x = 184,881 × 184,881
  4. Step 4: Simplify right side
    118,715x = 34,180,984,161
  5. Step 5: Solve for x
    x = 34,180,984,161/118,715
  6. Step 6: Final answer
    x = 287,924.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.