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Finding the Third Proportional to 74,214 and 151,020

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Solution

The third proportional to 74,214 and 151,020 is: 307,314.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,214 : 151,020 = 151,020 : x
  2. Step 2: Convert to fraction form
    74,214/151,020 = 151,020/x
  3. Step 3: Cross multiply
    74,214x = 151,020 × 151,020
  4. Step 4: Simplify right side
    74,214x = 22,807,040,400
  5. Step 5: Solve for x
    x = 22,807,040,400/74,214
  6. Step 6: Final answer
    x = 307,314.53

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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.