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Finding the Third Proportional to 49,278 and 108,003

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Solution

The third proportional to 49,278 and 108,003 is: 236,711.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,278 : 108,003 = 108,003 : x
  2. Step 2: Convert to fraction form
    49,278/108,003 = 108,003/x
  3. Step 3: Cross multiply
    49,278x = 108,003 × 108,003
  4. Step 4: Simplify right side
    49,278x = 11,664,648,009
  5. Step 5: Solve for x
    x = 11,664,648,009/49,278
  6. Step 6: Final answer
    x = 236,711.07

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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.