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Finding the Third Proportional to 86,591.25 and 130,140

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Solution

The third proportional to 86,591.25 and 130,140 is: 195,590.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,591.25 : 130,140 = 130,140 : x
  2. Step 2: Convert to fraction form
    86,591.25/130,140 = 130,140/x
  3. Step 3: Cross multiply
    86,591.25x = 130,140 × 130,140
  4. Step 4: Simplify right side
    86,591.25x = 16,936,419,600
  5. Step 5: Solve for x
    x = 16,936,419,600/86,591.25
  6. Step 6: Final answer
    x = 195,590.43

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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.