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Finding the Third Proportional to 79,803 and 171,365.63

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Solution

The third proportional to 79,803 and 171,365.63 is: 367,983.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,803 : 171,365.63 = 171,365.63 : x
  2. Step 2: Convert to fraction form
    79,803/171,365.63 = 171,365.63/x
  3. Step 3: Cross multiply
    79,803x = 171,365.63 × 171,365.63
  4. Step 4: Simplify right side
    79,803x = 29,366,177,431.64
  5. Step 5: Solve for x
    x = 29,366,177,431.64/79,803
  6. Step 6: Final answer
    x = 367,983.38

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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.