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Finding the Third Proportional to 122,788 and 184,638

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Solution

The third proportional to 122,788 and 184,638 is: 277,642.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,788 : 184,638 = 184,638 : x
  2. Step 2: Convert to fraction form
    122,788/184,638 = 184,638/x
  3. Step 3: Cross multiply
    122,788x = 184,638 × 184,638
  4. Step 4: Simplify right side
    122,788x = 34,091,191,044
  5. Step 5: Solve for x
    x = 34,091,191,044/122,788
  6. Step 6: Final answer
    x = 277,642.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.