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Finding the Third Proportional to 96,014 and 150,623

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Solution

The third proportional to 96,014 and 150,623 is: 236,291.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,014 : 150,623 = 150,623 : x
  2. Step 2: Convert to fraction form
    96,014/150,623 = 150,623/x
  3. Step 3: Cross multiply
    96,014x = 150,623 × 150,623
  4. Step 4: Simplify right side
    96,014x = 22,687,288,129
  5. Step 5: Solve for x
    x = 22,687,288,129/96,014
  6. Step 6: Final answer
    x = 236,291.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.