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Finding the Third Proportional to 70,036 and 161,968

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Solution

The third proportional to 70,036 and 161,968 is: 374,573.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,036 : 161,968 = 161,968 : x
  2. Step 2: Convert to fraction form
    70,036/161,968 = 161,968/x
  3. Step 3: Cross multiply
    70,036x = 161,968 × 161,968
  4. Step 4: Simplify right side
    70,036x = 26,233,633,024
  5. Step 5: Solve for x
    x = 26,233,633,024/70,036
  6. Step 6: Final answer
    x = 374,573.55

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.