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Finding the Third Proportional to 86,983.50 and 130,269.75

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Solution

The third proportional to 86,983.50 and 130,269.75 is: 195,096.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,983.50 : 130,269.75 = 130,269.75 : x
  2. Step 2: Convert to fraction form
    86,983.50/130,269.75 = 130,269.75/x
  3. Step 3: Cross multiply
    86,983.50x = 130,269.75 × 130,269.75
  4. Step 4: Simplify right side
    86,983.50x = 16,970,207,765.06
  5. Step 5: Solve for x
    x = 16,970,207,765.06/86,983.50
  6. Step 6: Final answer
    x = 195,096.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.