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Finding the Third Proportional to 96,678 and 150,534

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Solution

The third proportional to 96,678 and 150,534 is: 234,391.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,678 : 150,534 = 150,534 : x
  2. Step 2: Convert to fraction form
    96,678/150,534 = 150,534/x
  3. Step 3: Cross multiply
    96,678x = 150,534 × 150,534
  4. Step 4: Simplify right side
    96,678x = 22,660,485,156
  5. Step 5: Solve for x
    x = 22,660,485,156/96,678
  6. Step 6: Final answer
    x = 234,391.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.