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Finding the Third Proportional to 122,492.25 and 184,452.19

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Solution

The third proportional to 122,492.25 and 184,452.19 is: 277,753.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,492.25 : 184,452.19 = 184,452.19 : x
  2. Step 2: Convert to fraction form
    122,492.25/184,452.19 = 184,452.19/x
  3. Step 3: Cross multiply
    122,492.25x = 184,452.19 × 184,452.19
  4. Step 4: Simplify right side
    122,492.25x = 34,022,609,473.54
  5. Step 5: Solve for x
    x = 34,022,609,473.54/122,492.25
  6. Step 6: Final answer
    x = 277,753.16

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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.