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Finding the Third Proportional to 48,554 and 105,654

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Solution

The third proportional to 48,554 and 105,654 is: 229,904.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,554 : 105,654 = 105,654 : x
  2. Step 2: Convert to fraction form
    48,554/105,654 = 105,654/x
  3. Step 3: Cross multiply
    48,554x = 105,654 × 105,654
  4. Step 4: Simplify right side
    48,554x = 11,162,767,716
  5. Step 5: Solve for x
    x = 11,162,767,716/48,554
  6. Step 6: Final answer
    x = 229,904.18

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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.