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Finding the Third Proportional to 103,867 and 148,519

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Solution

The third proportional to 103,867 and 148,519 is: 212,366.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,867 : 148,519 = 148,519 : x
  2. Step 2: Convert to fraction form
    103,867/148,519 = 148,519/x
  3. Step 3: Cross multiply
    103,867x = 148,519 × 148,519
  4. Step 4: Simplify right side
    103,867x = 22,057,893,361
  5. Step 5: Solve for x
    x = 22,057,893,361/103,867
  6. Step 6: Final answer
    x = 212,366.71

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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.