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Finding the Third Proportional to 72,647 and 110,057

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Solution

The third proportional to 72,647 and 110,057 is: 166,731.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,647 : 110,057 = 110,057 : x
  2. Step 2: Convert to fraction form
    72,647/110,057 = 110,057/x
  3. Step 3: Cross multiply
    72,647x = 110,057 × 110,057
  4. Step 4: Simplify right side
    72,647x = 12,112,543,249
  5. Step 5: Solve for x
    x = 12,112,543,249/72,647
  6. Step 6: Final answer
    x = 166,731.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.