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Finding the Third Proportional to 96,984 and 150,521

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Solution

The third proportional to 96,984 and 150,521 is: 233,611.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,984 : 150,521 = 150,521 : x
  2. Step 2: Convert to fraction form
    96,984/150,521 = 150,521/x
  3. Step 3: Cross multiply
    96,984x = 150,521 × 150,521
  4. Step 4: Simplify right side
    96,984x = 22,656,571,441
  5. Step 5: Solve for x
    x = 22,656,571,441/96,984
  6. Step 6: Final answer
    x = 233,611.44

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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.