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Finding the Third Proportional to 125,835.19 and 188,289.56

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Solution

The third proportional to 125,835.19 and 188,289.56 is: 281,741.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,835.19 : 188,289.56 = 188,289.56 : x
  2. Step 2: Convert to fraction form
    125,835.19/188,289.56 = 188,289.56/x
  3. Step 3: Cross multiply
    125,835.19x = 188,289.56 × 188,289.56
  4. Step 4: Simplify right side
    125,835.19x = 35,452,959,346.44
  5. Step 5: Solve for x
    x = 35,452,959,346.44/125,835.19
  6. Step 6: Final answer
    x = 281,741.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.