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Finding the Third Proportional to 49,608 and 107,973

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Solution

The third proportional to 49,608 and 107,973 is: 235,005.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,608 : 107,973 = 107,973 : x
  2. Step 2: Convert to fraction form
    49,608/107,973 = 107,973/x
  3. Step 3: Cross multiply
    49,608x = 107,973 × 107,973
  4. Step 4: Simplify right side
    49,608x = 11,658,168,729
  5. Step 5: Solve for x
    x = 11,658,168,729/49,608
  6. Step 6: Final answer
    x = 235,005.82

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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.