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Finding the Third Proportional to 48,009 and 104,754

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Solution

The third proportional to 48,009 and 104,754 is: 228,569.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,009 : 104,754 = 104,754 : x
  2. Step 2: Convert to fraction form
    48,009/104,754 = 104,754/x
  3. Step 3: Cross multiply
    48,009x = 104,754 × 104,754
  4. Step 4: Simplify right side
    48,009x = 10,973,400,516
  5. Step 5: Solve for x
    x = 10,973,400,516/48,009
  6. Step 6: Final answer
    x = 228,569.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.