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Finding the Third Proportional to 104,302 and 149,465

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Solution

The third proportional to 104,302 and 149,465 is: 214,183.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,302 : 149,465 = 149,465 : x
  2. Step 2: Convert to fraction form
    104,302/149,465 = 149,465/x
  3. Step 3: Cross multiply
    104,302x = 149,465 × 149,465
  4. Step 4: Simplify right side
    104,302x = 22,339,786,225
  5. Step 5: Solve for x
    x = 22,339,786,225/104,302
  6. Step 6: Final answer
    x = 214,183.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.