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Finding the Third Proportional to 122,124 and 193,022

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Solution

The third proportional to 122,124 and 193,022 is: 305,079.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,124 : 193,022 = 193,022 : x
  2. Step 2: Convert to fraction form
    122,124/193,022 = 193,022/x
  3. Step 3: Cross multiply
    122,124x = 193,022 × 193,022
  4. Step 4: Simplify right side
    122,124x = 37,257,492,484
  5. Step 5: Solve for x
    x = 37,257,492,484/122,124
  6. Step 6: Final answer
    x = 305,079.20

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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.