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Finding the Third Proportional to 45,033.75 and 97,995.25

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Solution

The third proportional to 45,033.75 and 97,995.25 is: 213,241.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,033.75 : 97,995.25 = 97,995.25 : x
  2. Step 2: Convert to fraction form
    45,033.75/97,995.25 = 97,995.25/x
  3. Step 3: Cross multiply
    45,033.75x = 97,995.25 × 97,995.25
  4. Step 4: Simplify right side
    45,033.75x = 9,603,069,022.56
  5. Step 5: Solve for x
    x = 9,603,069,022.56/45,033.75
  6. Step 6: Final answer
    x = 213,241.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.