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Finding the Third Proportional to 78,180 and 120,980

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Solution

The third proportional to 78,180 and 120,980 is: 187,211.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,180 : 120,980 = 120,980 : x
  2. Step 2: Convert to fraction form
    78,180/120,980 = 120,980/x
  3. Step 3: Cross multiply
    78,180x = 120,980 × 120,980
  4. Step 4: Simplify right side
    78,180x = 14,636,160,400
  5. Step 5: Solve for x
    x = 14,636,160,400/78,180
  6. Step 6: Final answer
    x = 187,211.06

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.