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Finding the Third Proportional to 40,112 and 88,000

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Solution

The third proportional to 40,112 and 88,000 is: 193,059.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,112 : 88,000 = 88,000 : x
  2. Step 2: Convert to fraction form
    40,112/88,000 = 88,000/x
  3. Step 3: Cross multiply
    40,112x = 88,000 × 88,000
  4. Step 4: Simplify right side
    40,112x = 7,744,000,000
  5. Step 5: Solve for x
    x = 7,744,000,000/40,112
  6. Step 6: Final answer
    x = 193,059.43

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.