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Finding the Third Proportional to 85,795.03 and 130,441.64

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Solution

The third proportional to 85,795.03 and 130,441.64 is: 198,321.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,795.03 : 130,441.64 = 130,441.64 : x
  2. Step 2: Convert to fraction form
    85,795.03/130,441.64 = 130,441.64/x
  3. Step 3: Cross multiply
    85,795.03x = 130,441.64 × 130,441.64
  4. Step 4: Simplify right side
    85,795.03x = 17,015,021,608.94
  5. Step 5: Solve for x
    x = 17,015,021,608.94/85,795.03
  6. Step 6: Final answer
    x = 198,321.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.