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Finding the Third Proportional to 64,530 and 96,103

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Solution

The third proportional to 64,530 and 96,103 is: 143,123.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,530 : 96,103 = 96,103 : x
  2. Step 2: Convert to fraction form
    64,530/96,103 = 96,103/x
  3. Step 3: Cross multiply
    64,530x = 96,103 × 96,103
  4. Step 4: Simplify right side
    64,530x = 9,235,786,609
  5. Step 5: Solve for x
    x = 9,235,786,609/64,530
  6. Step 6: Final answer
    x = 143,123.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.