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Finding the Third Proportional to 107,982 and 252,213

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Solution

The third proportional to 107,982 and 252,213 is: 589,092.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,982 : 252,213 = 252,213 : x
  2. Step 2: Convert to fraction form
    107,982/252,213 = 252,213/x
  3. Step 3: Cross multiply
    107,982x = 252,213 × 252,213
  4. Step 4: Simplify right side
    107,982x = 63,611,397,369
  5. Step 5: Solve for x
    x = 63,611,397,369/107,982
  6. Step 6: Final answer
    x = 589,092.60

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.