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Finding the Third Proportional to 122,650 and 184,582

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Solution

The third proportional to 122,650 and 184,582 is: 277,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,650 : 184,582 = 184,582 : x
  2. Step 2: Convert to fraction form
    122,650/184,582 = 184,582/x
  3. Step 3: Cross multiply
    122,650x = 184,582 × 184,582
  4. Step 4: Simplify right side
    122,650x = 34,070,514,724
  5. Step 5: Solve for x
    x = 34,070,514,724/122,650
  6. Step 6: Final answer
    x = 277,786.50

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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.