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Finding the Third Proportional to 86,738 and 130,131

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Solution

The third proportional to 86,738 and 130,131 is: 195,232.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,738 : 130,131 = 130,131 : x
  2. Step 2: Convert to fraction form
    86,738/130,131 = 130,131/x
  3. Step 3: Cross multiply
    86,738x = 130,131 × 130,131
  4. Step 4: Simplify right side
    86,738x = 16,934,077,161
  5. Step 5: Solve for x
    x = 16,934,077,161/86,738
  6. Step 6: Final answer
    x = 195,232.51

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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.