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Finding the Third Proportional to 104,023 and 212,975

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Solution

The third proportional to 104,023 and 212,975 is: 436,041.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,023 : 212,975 = 212,975 : x
  2. Step 2: Convert to fraction form
    104,023/212,975 = 212,975/x
  3. Step 3: Cross multiply
    104,023x = 212,975 × 212,975
  4. Step 4: Simplify right side
    104,023x = 45,358,350,625
  5. Step 5: Solve for x
    x = 45,358,350,625/104,023
  6. Step 6: Final answer
    x = 436,041.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.