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Finding the Third Proportional to 48,429 and 104,895

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Solution

The third proportional to 48,429 and 104,895 is: 227,197.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,429 : 104,895 = 104,895 : x
  2. Step 2: Convert to fraction form
    48,429/104,895 = 104,895/x
  3. Step 3: Cross multiply
    48,429x = 104,895 × 104,895
  4. Step 4: Simplify right side
    48,429x = 11,002,961,025
  5. Step 5: Solve for x
    x = 11,002,961,025/48,429
  6. Step 6: Final answer
    x = 227,197.77

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.