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Finding the Third Proportional to 48,087 and 105,219

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Solution

The third proportional to 48,087 and 105,219 is: 230,229.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,087 : 105,219 = 105,219 : x
  2. Step 2: Convert to fraction form
    48,087/105,219 = 105,219/x
  3. Step 3: Cross multiply
    48,087x = 105,219 × 105,219
  4. Step 4: Simplify right side
    48,087x = 11,071,037,961
  5. Step 5: Solve for x
    x = 11,071,037,961/48,087
  6. Step 6: Final answer
    x = 230,229.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.