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Finding the Third Proportional to 96,984 and 150,520

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Solution

The third proportional to 96,984 and 150,520 is: 233,608.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,984 : 150,520 = 150,520 : x
  2. Step 2: Convert to fraction form
    96,984/150,520 = 150,520/x
  3. Step 3: Cross multiply
    96,984x = 150,520 × 150,520
  4. Step 4: Simplify right side
    96,984x = 22,656,270,400
  5. Step 5: Solve for x
    x = 22,656,270,400/96,984
  6. Step 6: Final answer
    x = 233,608.33

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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.