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Finding the Third Proportional to 139,023 and 211,200.75

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Solution

The third proportional to 139,023 and 211,200.75 is: 320,851.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,023 : 211,200.75 = 211,200.75 : x
  2. Step 2: Convert to fraction form
    139,023/211,200.75 = 211,200.75/x
  3. Step 3: Cross multiply
    139,023x = 211,200.75 × 211,200.75
  4. Step 4: Simplify right side
    139,023x = 44,605,756,800.56
  5. Step 5: Solve for x
    x = 44,605,756,800.56/139,023
  6. Step 6: Final answer
    x = 320,851.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.