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Finding the Third Proportional to 86,920 and 130,380

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Solution

The third proportional to 86,920 and 130,380 is: 195,570

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,920 : 130,380 = 130,380 : x
  2. Step 2: Convert to fraction form
    86,920/130,380 = 130,380/x
  3. Step 3: Cross multiply
    86,920x = 130,380 × 130,380
  4. Step 4: Simplify right side
    86,920x = 16,998,944,400
  5. Step 5: Solve for x
    x = 16,998,944,400/86,920
  6. Step 6: Final answer
    x = 195,570

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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.