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Finding the Third Proportional to 122,122 and 193,019

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Solution

The third proportional to 122,122 and 193,019 is: 305,074.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,122 : 193,019 = 193,019 : x
  2. Step 2: Convert to fraction form
    122,122/193,019 = 193,019/x
  3. Step 3: Cross multiply
    122,122x = 193,019 × 193,019
  4. Step 4: Simplify right side
    122,122x = 37,256,334,361
  5. Step 5: Solve for x
    x = 37,256,334,361/122,122
  6. Step 6: Final answer
    x = 305,074.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.