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Finding the Third Proportional to 122,590.13 and 184,590.56

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Solution

The third proportional to 122,590.13 and 184,590.56 is: 277,947.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,590.13 : 184,590.56 = 184,590.56 : x
  2. Step 2: Convert to fraction form
    122,590.13/184,590.56 = 184,590.56/x
  3. Step 3: Cross multiply
    122,590.13x = 184,590.56 × 184,590.56
  4. Step 4: Simplify right side
    122,590.13x = 34,073,675,764.07
  5. Step 5: Solve for x
    x = 34,073,675,764.07/122,590.13
  6. Step 6: Final answer
    x = 277,947.96

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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.