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Finding the Third Proportional to 45,112 and 103,972

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Solution

The third proportional to 45,112 and 103,972 is: 239,629.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,112 : 103,972 = 103,972 : x
  2. Step 2: Convert to fraction form
    45,112/103,972 = 103,972/x
  3. Step 3: Cross multiply
    45,112x = 103,972 × 103,972
  4. Step 4: Simplify right side
    45,112x = 10,810,176,784
  5. Step 5: Solve for x
    x = 10,810,176,784/45,112
  6. Step 6: Final answer
    x = 239,629.74

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.