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Finding the Third Proportional to 107,163 and 150,498

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Solution

The third proportional to 107,163 and 150,498 is: 211,356.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,163 : 150,498 = 150,498 : x
  2. Step 2: Convert to fraction form
    107,163/150,498 = 150,498/x
  3. Step 3: Cross multiply
    107,163x = 150,498 × 150,498
  4. Step 4: Simplify right side
    107,163x = 22,649,648,004
  5. Step 5: Solve for x
    x = 22,649,648,004/107,163
  6. Step 6: Final answer
    x = 211,356.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.