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Finding the Third Proportional to 125,300 and 188,012

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Solution

The third proportional to 125,300 and 188,012 is: 282,111.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,300 : 188,012 = 188,012 : x
  2. Step 2: Convert to fraction form
    125,300/188,012 = 188,012/x
  3. Step 3: Cross multiply
    125,300x = 188,012 × 188,012
  4. Step 4: Simplify right side
    125,300x = 35,348,512,144
  5. Step 5: Solve for x
    x = 35,348,512,144/125,300
  6. Step 6: Final answer
    x = 282,111.03

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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.