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Finding the Third Proportional to 79,717 and 174,984

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Solution

The third proportional to 79,717 and 174,984 is: 384,101.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,717 : 174,984 = 174,984 : x
  2. Step 2: Convert to fraction form
    79,717/174,984 = 174,984/x
  3. Step 3: Cross multiply
    79,717x = 174,984 × 174,984
  4. Step 4: Simplify right side
    79,717x = 30,619,400,256
  5. Step 5: Solve for x
    x = 30,619,400,256/79,717
  6. Step 6: Final answer
    x = 384,101.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.