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Finding the Third Proportional to 103,898 and 148,571

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Solution

The third proportional to 103,898 and 148,571 is: 212,452.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,898 : 148,571 = 148,571 : x
  2. Step 2: Convert to fraction form
    103,898/148,571 = 148,571/x
  3. Step 3: Cross multiply
    103,898x = 148,571 × 148,571
  4. Step 4: Simplify right side
    103,898x = 22,073,342,041
  5. Step 5: Solve for x
    x = 22,073,342,041/103,898
  6. Step 6: Final answer
    x = 212,452.04

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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.