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Finding the Third Proportional to 48,653 and 105,302

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Solution

The third proportional to 48,653 and 105,302 is: 227,910.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,653 : 105,302 = 105,302 : x
  2. Step 2: Convert to fraction form
    48,653/105,302 = 105,302/x
  3. Step 3: Cross multiply
    48,653x = 105,302 × 105,302
  4. Step 4: Simplify right side
    48,653x = 11,088,511,204
  5. Step 5: Solve for x
    x = 11,088,511,204/48,653
  6. Step 6: Final answer
    x = 227,910.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.