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Finding the Third Proportional to 48,351 and 105,558

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Solution

The third proportional to 48,351 and 105,558 is: 230,450.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,351 : 105,558 = 105,558 : x
  2. Step 2: Convert to fraction form
    48,351/105,558 = 105,558/x
  3. Step 3: Cross multiply
    48,351x = 105,558 × 105,558
  4. Step 4: Simplify right side
    48,351x = 11,142,491,364
  5. Step 5: Solve for x
    x = 11,142,491,364/48,351
  6. Step 6: Final answer
    x = 230,450.07

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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.