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Finding the Third Proportional to 97,530 and 150,345

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Solution

The third proportional to 97,530 and 150,345 is: 231,760.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,530 : 150,345 = 150,345 : x
  2. Step 2: Convert to fraction form
    97,530/150,345 = 150,345/x
  3. Step 3: Cross multiply
    97,530x = 150,345 × 150,345
  4. Step 4: Simplify right side
    97,530x = 22,603,619,025
  5. Step 5: Solve for x
    x = 22,603,619,025/97,530
  6. Step 6: Final answer
    x = 231,760.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.