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Finding the Third Proportional to 103,302 and 159,624

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Solution

The third proportional to 103,302 and 159,624 is: 246,653.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,302 : 159,624 = 159,624 : x
  2. Step 2: Convert to fraction form
    103,302/159,624 = 159,624/x
  3. Step 3: Cross multiply
    103,302x = 159,624 × 159,624
  4. Step 4: Simplify right side
    103,302x = 25,479,821,376
  5. Step 5: Solve for x
    x = 25,479,821,376/103,302
  6. Step 6: Final answer
    x = 246,653.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.