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Finding the Third Proportional to 70,313 and 151,676

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Solution

The third proportional to 70,313 and 151,676 is: 327,188.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,313 : 151,676 = 151,676 : x
  2. Step 2: Convert to fraction form
    70,313/151,676 = 151,676/x
  3. Step 3: Cross multiply
    70,313x = 151,676 × 151,676
  4. Step 4: Simplify right side
    70,313x = 23,005,608,976
  5. Step 5: Solve for x
    x = 23,005,608,976/70,313
  6. Step 6: Final answer
    x = 327,188.56

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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.