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Finding the Third Proportional to 77,296 and 110,238

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Solution

The third proportional to 77,296 and 110,238 is: 157,219.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,296 : 110,238 = 110,238 : x
  2. Step 2: Convert to fraction form
    77,296/110,238 = 110,238/x
  3. Step 3: Cross multiply
    77,296x = 110,238 × 110,238
  4. Step 4: Simplify right side
    77,296x = 12,152,416,644
  5. Step 5: Solve for x
    x = 12,152,416,644/77,296
  6. Step 6: Final answer
    x = 157,219.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.