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Finding the Third Proportional to 110,108 and 153,208

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Solution

The third proportional to 110,108 and 153,208 is: 213,178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,108 : 153,208 = 153,208 : x
  2. Step 2: Convert to fraction form
    110,108/153,208 = 153,208/x
  3. Step 3: Cross multiply
    110,108x = 153,208 × 153,208
  4. Step 4: Simplify right side
    110,108x = 23,472,691,264
  5. Step 5: Solve for x
    x = 23,472,691,264/110,108
  6. Step 6: Final answer
    x = 213,178.80

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.