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Finding the Third Proportional to 70,706 and 154,036

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Solution

The third proportional to 70,706 and 154,036 is: 335,573.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,706 : 154,036 = 154,036 : x
  2. Step 2: Convert to fraction form
    70,706/154,036 = 154,036/x
  3. Step 3: Cross multiply
    70,706x = 154,036 × 154,036
  4. Step 4: Simplify right side
    70,706x = 23,727,089,296
  5. Step 5: Solve for x
    x = 23,727,089,296/70,706
  6. Step 6: Final answer
    x = 335,573.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.