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Finding the Third Proportional to 86,906 and 189,526

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Solution

The third proportional to 86,906 and 189,526 is: 413,321.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,906 : 189,526 = 189,526 : x
  2. Step 2: Convert to fraction form
    86,906/189,526 = 189,526/x
  3. Step 3: Cross multiply
    86,906x = 189,526 × 189,526
  4. Step 4: Simplify right side
    86,906x = 35,920,104,676
  5. Step 5: Solve for x
    x = 35,920,104,676/86,906
  6. Step 6: Final answer
    x = 413,321.34

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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.