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Finding the Third Proportional to 103,554 and 150,307

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Solution

The third proportional to 103,554 and 150,307 is: 218,168.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,554 : 150,307 = 150,307 : x
  2. Step 2: Convert to fraction form
    103,554/150,307 = 150,307/x
  3. Step 3: Cross multiply
    103,554x = 150,307 × 150,307
  4. Step 4: Simplify right side
    103,554x = 22,592,194,249
  5. Step 5: Solve for x
    x = 22,592,194,249/103,554
  6. Step 6: Final answer
    x = 218,168.24

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.