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Finding the Third Proportional to 125,610.75 and 188,438.91

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Solution

The third proportional to 125,610.75 and 188,438.91 is: 282,692.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,610.75 : 188,438.91 = 188,438.91 : x
  2. Step 2: Convert to fraction form
    125,610.75/188,438.91 = 188,438.91/x
  3. Step 3: Cross multiply
    125,610.75x = 188,438.91 × 188,438.91
  4. Step 4: Simplify right side
    125,610.75x = 35,509,221,388.70
  5. Step 5: Solve for x
    x = 35,509,221,388.70/125,610.75
  6. Step 6: Final answer
    x = 282,692.54

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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.