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Finding the Third Proportional to 43,015.50 and 101,207.25

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Solution

The third proportional to 43,015.50 and 101,207.25 is: 238,121.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,015.50 : 101,207.25 = 101,207.25 : x
  2. Step 2: Convert to fraction form
    43,015.50/101,207.25 = 101,207.25/x
  3. Step 3: Cross multiply
    43,015.50x = 101,207.25 × 101,207.25
  4. Step 4: Simplify right side
    43,015.50x = 10,242,907,452.56
  5. Step 5: Solve for x
    x = 10,242,907,452.56/43,015.50
  6. Step 6: Final answer
    x = 238,121.32

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.