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Finding the Third Proportional to 103,896 and 148,568

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Solution

The third proportional to 103,896 and 148,568 is: 212,447.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,896 : 148,568 = 148,568 : x
  2. Step 2: Convert to fraction form
    103,896/148,568 = 148,568/x
  3. Step 3: Cross multiply
    103,896x = 148,568 × 148,568
  4. Step 4: Simplify right side
    103,896x = 22,072,450,624
  5. Step 5: Solve for x
    x = 22,072,450,624/103,896
  6. Step 6: Final answer
    x = 212,447.55

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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.