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Finding the Third Proportional to 36,079 and 77,485

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Solution

The third proportional to 36,079 and 77,485 is: 166,410.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,079 : 77,485 = 77,485 : x
  2. Step 2: Convert to fraction form
    36,079/77,485 = 77,485/x
  3. Step 3: Cross multiply
    36,079x = 77,485 × 77,485
  4. Step 4: Simplify right side
    36,079x = 6,003,925,225
  5. Step 5: Solve for x
    x = 6,003,925,225/36,079
  6. Step 6: Final answer
    x = 166,410.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.