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Finding the Third Proportional to 48,703 and 117,009

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Solution

The third proportional to 48,703 and 117,009 is: 281,114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,703 : 117,009 = 117,009 : x
  2. Step 2: Convert to fraction form
    48,703/117,009 = 117,009/x
  3. Step 3: Cross multiply
    48,703x = 117,009 × 117,009
  4. Step 4: Simplify right side
    48,703x = 13,691,106,081
  5. Step 5: Solve for x
    x = 13,691,106,081/48,703
  6. Step 6: Final answer
    x = 281,114.22

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.