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Finding the Third Proportional to 103,970 and 148,171

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Solution

The third proportional to 103,970 and 148,171 is: 211,163.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,970 : 148,171 = 148,171 : x
  2. Step 2: Convert to fraction form
    103,970/148,171 = 148,171/x
  3. Step 3: Cross multiply
    103,970x = 148,171 × 148,171
  4. Step 4: Simplify right side
    103,970x = 21,954,645,241
  5. Step 5: Solve for x
    x = 21,954,645,241/103,970
  6. Step 6: Final answer
    x = 211,163.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.