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Finding the Third Proportional to 45,996 and 67,968.75

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Solution

The third proportional to 45,996 and 67,968.75 is: 100,438.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,996 : 67,968.75 = 67,968.75 : x
  2. Step 2: Convert to fraction form
    45,996/67,968.75 = 67,968.75/x
  3. Step 3: Cross multiply
    45,996x = 67,968.75 × 67,968.75
  4. Step 4: Simplify right side
    45,996x = 4,619,750,976.56
  5. Step 5: Solve for x
    x = 4,619,750,976.56/45,996
  6. Step 6: Final answer
    x = 100,438.10

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.