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Finding the Third Proportional to 122,677 and 184,624.50

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Solution

The third proportional to 122,677 and 184,624.50 is: 277,853.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,677 : 184,624.50 = 184,624.50 : x
  2. Step 2: Convert to fraction form
    122,677/184,624.50 = 184,624.50/x
  3. Step 3: Cross multiply
    122,677x = 184,624.50 × 184,624.50
  4. Step 4: Simplify right side
    122,677x = 34,086,206,000.25
  5. Step 5: Solve for x
    x = 34,086,206,000.25/122,677
  6. Step 6: Final answer
    x = 277,853.27

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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.