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Finding the Third Proportional to 51,548 and 109,848

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Solution

The third proportional to 51,548 and 109,848 is: 234,084.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,548 : 109,848 = 109,848 : x
  2. Step 2: Convert to fraction form
    51,548/109,848 = 109,848/x
  3. Step 3: Cross multiply
    51,548x = 109,848 × 109,848
  4. Step 4: Simplify right side
    51,548x = 12,066,583,104
  5. Step 5: Solve for x
    x = 12,066,583,104/51,548
  6. Step 6: Final answer
    x = 234,084.41

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.