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Finding the Third Proportional to 48,409 and 104,859

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Solution

The third proportional to 48,409 and 104,859 is: 227,135.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,409 : 104,859 = 104,859 : x
  2. Step 2: Convert to fraction form
    48,409/104,859 = 104,859/x
  3. Step 3: Cross multiply
    48,409x = 104,859 × 104,859
  4. Step 4: Simplify right side
    48,409x = 10,995,409,881
  5. Step 5: Solve for x
    x = 10,995,409,881/48,409
  6. Step 6: Final answer
    x = 227,135.65

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Why These Related Problems?

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