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Finding the Third Proportional to 124,296 and 192,816

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Solution

The third proportional to 124,296 and 192,816 is: 299,108.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,296 : 192,816 = 192,816 : x
  2. Step 2: Convert to fraction form
    124,296/192,816 = 192,816/x
  3. Step 3: Cross multiply
    124,296x = 192,816 × 192,816
  4. Step 4: Simplify right side
    124,296x = 37,178,009,856
  5. Step 5: Solve for x
    x = 37,178,009,856/124,296
  6. Step 6: Final answer
    x = 299,108.66

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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.