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Finding the Third Proportional to 125,220 and 187,884

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Solution

The third proportional to 125,220 and 187,884 is: 281,907.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,220 : 187,884 = 187,884 : x
  2. Step 2: Convert to fraction form
    125,220/187,884 = 187,884/x
  3. Step 3: Cross multiply
    125,220x = 187,884 × 187,884
  4. Step 4: Simplify right side
    125,220x = 35,300,397,456
  5. Step 5: Solve for x
    x = 35,300,397,456/125,220
  6. Step 6: Final answer
    x = 281,907.02

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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.