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Finding the Third Proportional to 122,803 and 190,199

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Solution

The third proportional to 122,803 and 190,199 is: 294,582.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,803 : 190,199 = 190,199 : x
  2. Step 2: Convert to fraction form
    122,803/190,199 = 190,199/x
  3. Step 3: Cross multiply
    122,803x = 190,199 × 190,199
  4. Step 4: Simplify right side
    122,803x = 36,175,659,601
  5. Step 5: Solve for x
    x = 36,175,659,601/122,803
  6. Step 6: Final answer
    x = 294,582.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.