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Finding the Third Proportional to 113,462 and 158,996

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Solution

The third proportional to 113,462 and 158,996 is: 222,803.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,462 : 158,996 = 158,996 : x
  2. Step 2: Convert to fraction form
    113,462/158,996 = 158,996/x
  3. Step 3: Cross multiply
    113,462x = 158,996 × 158,996
  4. Step 4: Simplify right side
    113,462x = 25,279,728,016
  5. Step 5: Solve for x
    x = 25,279,728,016/113,462
  6. Step 6: Final answer
    x = 222,803.48

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.