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Finding the Third Proportional to 72,077 and 107,827

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Solution

The third proportional to 72,077 and 107,827 is: 161,308.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,077 : 107,827 = 107,827 : x
  2. Step 2: Convert to fraction form
    72,077/107,827 = 107,827/x
  3. Step 3: Cross multiply
    72,077x = 107,827 × 107,827
  4. Step 4: Simplify right side
    72,077x = 11,626,661,929
  5. Step 5: Solve for x
    x = 11,626,661,929/72,077
  6. Step 6: Final answer
    x = 161,308.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.