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Finding the Third Proportional to 48,551 and 105,886

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Solution

The third proportional to 48,551 and 105,886 is: 230,929.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,551 : 105,886 = 105,886 : x
  2. Step 2: Convert to fraction form
    48,551/105,886 = 105,886/x
  3. Step 3: Cross multiply
    48,551x = 105,886 × 105,886
  4. Step 4: Simplify right side
    48,551x = 11,211,844,996
  5. Step 5: Solve for x
    x = 11,211,844,996/48,551
  6. Step 6: Final answer
    x = 230,929.23

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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.