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Finding the Third Proportional to 48,414 and 105,573

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Solution

The third proportional to 48,414 and 105,573 is: 230,215.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,414 : 105,573 = 105,573 : x
  2. Step 2: Convert to fraction form
    48,414/105,573 = 105,573/x
  3. Step 3: Cross multiply
    48,414x = 105,573 × 105,573
  4. Step 4: Simplify right side
    48,414x = 11,145,658,329
  5. Step 5: Solve for x
    x = 11,145,658,329/48,414
  6. Step 6: Final answer
    x = 230,215.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.