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Finding the Third Proportional to 136,586 and 184,127

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Solution

The third proportional to 136,586 and 184,127 is: 248,215.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,586 : 184,127 = 184,127 : x
  2. Step 2: Convert to fraction form
    136,586/184,127 = 184,127/x
  3. Step 3: Cross multiply
    136,586x = 184,127 × 184,127
  4. Step 4: Simplify right side
    136,586x = 33,902,752,129
  5. Step 5: Solve for x
    x = 33,902,752,129/136,586
  6. Step 6: Final answer
    x = 248,215.43

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.