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Finding the Third Proportional to 48,230 and 104,509

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Solution

The third proportional to 48,230 and 104,509 is: 226,459.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,230 : 104,509 = 104,509 : x
  2. Step 2: Convert to fraction form
    48,230/104,509 = 104,509/x
  3. Step 3: Cross multiply
    48,230x = 104,509 × 104,509
  4. Step 4: Simplify right side
    48,230x = 10,922,131,081
  5. Step 5: Solve for x
    x = 10,922,131,081/48,230
  6. Step 6: Final answer
    x = 226,459.28

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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.