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Finding the Third Proportional to 122,967 and 185,580

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Solution

The third proportional to 122,967 and 185,580 is: 280,074.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,967 : 185,580 = 185,580 : x
  2. Step 2: Convert to fraction form
    122,967/185,580 = 185,580/x
  3. Step 3: Cross multiply
    122,967x = 185,580 × 185,580
  4. Step 4: Simplify right side
    122,967x = 34,439,936,400
  5. Step 5: Solve for x
    x = 34,439,936,400/122,967
  6. Step 6: Final answer
    x = 280,074.62

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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.