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Finding the Third Proportional to 64,530 and 96,822

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Solution

The third proportional to 64,530 and 96,822 is: 145,273.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,530 : 96,822 = 96,822 : x
  2. Step 2: Convert to fraction form
    64,530/96,822 = 96,822/x
  3. Step 3: Cross multiply
    64,530x = 96,822 × 96,822
  4. Step 4: Simplify right side
    64,530x = 9,374,499,684
  5. Step 5: Solve for x
    x = 9,374,499,684/64,530
  6. Step 6: Final answer
    x = 145,273.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.