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Finding the Third Proportional to 70,171 and 151,573

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Solution

The third proportional to 70,171 and 151,573 is: 327,405.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,171 : 151,573 = 151,573 : x
  2. Step 2: Convert to fraction form
    70,171/151,573 = 151,573/x
  3. Step 3: Cross multiply
    70,171x = 151,573 × 151,573
  4. Step 4: Simplify right side
    70,171x = 22,974,374,329
  5. Step 5: Solve for x
    x = 22,974,374,329/70,171
  6. Step 6: Final answer
    x = 327,405.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.