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Finding the Third Proportional to 70,701 and 151,122

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Solution

The third proportional to 70,701 and 151,122 is: 323,020.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,701 : 151,122 = 151,122 : x
  2. Step 2: Convert to fraction form
    70,701/151,122 = 151,122/x
  3. Step 3: Cross multiply
    70,701x = 151,122 × 151,122
  4. Step 4: Simplify right side
    70,701x = 22,837,858,884
  5. Step 5: Solve for x
    x = 22,837,858,884/70,701
  6. Step 6: Final answer
    x = 323,020.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.