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Finding the Third Proportional to 100,971 and 221,525

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Solution

The third proportional to 100,971 and 221,525 is: 486,014.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,971 : 221,525 = 221,525 : x
  2. Step 2: Convert to fraction form
    100,971/221,525 = 221,525/x
  3. Step 3: Cross multiply
    100,971x = 221,525 × 221,525
  4. Step 4: Simplify right side
    100,971x = 49,073,325,625
  5. Step 5: Solve for x
    x = 49,073,325,625/100,971
  6. Step 6: Final answer
    x = 486,014.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.