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Finding the Third Proportional to 122,205 and 184,537

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Solution

The third proportional to 122,205 and 184,537 is: 278,662.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,205 : 184,537 = 184,537 : x
  2. Step 2: Convert to fraction form
    122,205/184,537 = 184,537/x
  3. Step 3: Cross multiply
    122,205x = 184,537 × 184,537
  4. Step 4: Simplify right side
    122,205x = 34,053,904,369
  5. Step 5: Solve for x
    x = 34,053,904,369/122,205
  6. Step 6: Final answer
    x = 278,662.12

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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.