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Finding the Third Proportional to 85,074 and 173,604

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Solution

The third proportional to 85,074 and 173,604 is: 354,260.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,074 : 173,604 = 173,604 : x
  2. Step 2: Convert to fraction form
    85,074/173,604 = 173,604/x
  3. Step 3: Cross multiply
    85,074x = 173,604 × 173,604
  4. Step 4: Simplify right side
    85,074x = 30,138,348,816
  5. Step 5: Solve for x
    x = 30,138,348,816/85,074
  6. Step 6: Final answer
    x = 354,260.39

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.