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Finding the Third Proportional to 122,064 and 184,818

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Solution

The third proportional to 122,064 and 184,818 is: 279,834.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,064 : 184,818 = 184,818 : x
  2. Step 2: Convert to fraction form
    122,064/184,818 = 184,818/x
  3. Step 3: Cross multiply
    122,064x = 184,818 × 184,818
  4. Step 4: Simplify right side
    122,064x = 34,157,693,124
  5. Step 5: Solve for x
    x = 34,157,693,124/122,064
  6. Step 6: Final answer
    x = 279,834.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.