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Finding the Third Proportional to 98,571 and 154,425

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Solution

The third proportional to 98,571 and 154,425 is: 241,927.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,571 : 154,425 = 154,425 : x
  2. Step 2: Convert to fraction form
    98,571/154,425 = 154,425/x
  3. Step 3: Cross multiply
    98,571x = 154,425 × 154,425
  4. Step 4: Simplify right side
    98,571x = 23,847,080,625
  5. Step 5: Solve for x
    x = 23,847,080,625/98,571
  6. Step 6: Final answer
    x = 241,927.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.