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Finding the Third Proportional to 101,183 and 148,494

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Solution

The third proportional to 101,183 and 148,494 is: 217,926.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,183 : 148,494 = 148,494 : x
  2. Step 2: Convert to fraction form
    101,183/148,494 = 148,494/x
  3. Step 3: Cross multiply
    101,183x = 148,494 × 148,494
  4. Step 4: Simplify right side
    101,183x = 22,050,468,036
  5. Step 5: Solve for x
    x = 22,050,468,036/101,183
  6. Step 6: Final answer
    x = 217,926.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.