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Finding the Third Proportional to 139,352.91 and 213,523.17

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Solution

The third proportional to 139,352.91 and 213,523.17 is: 327,170.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,352.91 : 213,523.17 = 213,523.17 : x
  2. Step 2: Convert to fraction form
    139,352.91/213,523.17 = 213,523.17/x
  3. Step 3: Cross multiply
    139,352.91x = 213,523.17 × 213,523.17
  4. Step 4: Simplify right side
    139,352.91x = 45,592,144,927.56
  5. Step 5: Solve for x
    x = 45,592,144,927.56/139,352.91
  6. Step 6: Final answer
    x = 327,170.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.