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Finding the Third Proportional to 124,512 and 193,116

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Solution

The third proportional to 124,512 and 193,116 is: 299,519.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,512 : 193,116 = 193,116 : x
  2. Step 2: Convert to fraction form
    124,512/193,116 = 193,116/x
  3. Step 3: Cross multiply
    124,512x = 193,116 × 193,116
  4. Step 4: Simplify right side
    124,512x = 37,293,789,456
  5. Step 5: Solve for x
    x = 37,293,789,456/124,512
  6. Step 6: Final answer
    x = 299,519.64

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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.