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Finding the Third Proportional to 86,584.50 and 138,318

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Solution

The third proportional to 86,584.50 and 138,318 is: 220,961.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,584.50 : 138,318 = 138,318 : x
  2. Step 2: Convert to fraction form
    86,584.50/138,318 = 138,318/x
  3. Step 3: Cross multiply
    86,584.50x = 138,318 × 138,318
  4. Step 4: Simplify right side
    86,584.50x = 19,131,869,124
  5. Step 5: Solve for x
    x = 19,131,869,124/86,584.50
  6. Step 6: Final answer
    x = 220,961.82

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.