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Finding the Third Proportional to 138,651.75 and 214,093.13

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Solution

The third proportional to 138,651.75 and 214,093.13 is: 330,582.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,651.75 : 214,093.13 = 214,093.13 : x
  2. Step 2: Convert to fraction form
    138,651.75/214,093.13 = 214,093.13/x
  3. Step 3: Cross multiply
    138,651.75x = 214,093.13 × 214,093.13
  4. Step 4: Simplify right side
    138,651.75x = 45,835,866,172.27
  5. Step 5: Solve for x
    x = 45,835,866,172.27/138,651.75
  6. Step 6: Final answer
    x = 330,582.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.