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Finding the Third Proportional to 86,568.75 and 189,135

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Solution

The third proportional to 86,568.75 and 189,135 is: 413,221.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,568.75 : 189,135 = 189,135 : x
  2. Step 2: Convert to fraction form
    86,568.75/189,135 = 189,135/x
  3. Step 3: Cross multiply
    86,568.75x = 189,135 × 189,135
  4. Step 4: Simplify right side
    86,568.75x = 35,772,048,225
  5. Step 5: Solve for x
    x = 35,772,048,225/86,568.75
  6. Step 6: Final answer
    x = 413,221.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.