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Finding the Third Proportional to 74,214 and 151,019

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Solution

The third proportional to 74,214 and 151,019 is: 307,310.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,214 : 151,019 = 151,019 : x
  2. Step 2: Convert to fraction form
    74,214/151,019 = 151,019/x
  3. Step 3: Cross multiply
    74,214x = 151,019 × 151,019
  4. Step 4: Simplify right side
    74,214x = 22,806,738,361
  5. Step 5: Solve for x
    x = 22,806,738,361/74,214
  6. Step 6: Final answer
    x = 307,310.46

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.