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Finding the Third Proportional to 125,486.44 and 188,508.09

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Solution

The third proportional to 125,486.44 and 188,508.09 is: 283,180.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,486.44 : 188,508.09 = 188,508.09 : x
  2. Step 2: Convert to fraction form
    125,486.44/188,508.09 = 188,508.09/x
  3. Step 3: Cross multiply
    125,486.44x = 188,508.09 × 188,508.09
  4. Step 4: Simplify right side
    125,486.44x = 35,535,301,409.26
  5. Step 5: Solve for x
    x = 35,535,301,409.26/125,486.44
  6. Step 6: Final answer
    x = 283,180.41

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