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Finding the Third Proportional to 86,589 and 130,135

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Solution

The third proportional to 86,589 and 130,135 is: 195,580.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,589 : 130,135 = 130,135 : x
  2. Step 2: Convert to fraction form
    86,589/130,135 = 130,135/x
  3. Step 3: Cross multiply
    86,589x = 130,135 × 130,135
  4. Step 4: Simplify right side
    86,589x = 16,935,118,225
  5. Step 5: Solve for x
    x = 16,935,118,225/86,589
  6. Step 6: Final answer
    x = 195,580.48

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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.