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Finding the Third Proportional to 47,895 and 104,850

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Solution

The third proportional to 47,895 and 104,850 is: 229,533.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,895 : 104,850 = 104,850 : x
  2. Step 2: Convert to fraction form
    47,895/104,850 = 104,850/x
  3. Step 3: Cross multiply
    47,895x = 104,850 × 104,850
  4. Step 4: Simplify right side
    47,895x = 10,993,522,500
  5. Step 5: Solve for x
    x = 10,993,522,500/47,895
  6. Step 6: Final answer
    x = 229,533.82

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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.