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Finding the Third Proportional to 86,624 and 189,232

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Solution

The third proportional to 86,624 and 189,232 is: 413,381.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,624 : 189,232 = 189,232 : x
  2. Step 2: Convert to fraction form
    86,624/189,232 = 189,232/x
  3. Step 3: Cross multiply
    86,624x = 189,232 × 189,232
  4. Step 4: Simplify right side
    86,624x = 35,808,749,824
  5. Step 5: Solve for x
    x = 35,808,749,824/86,624
  6. Step 6: Final answer
    x = 413,381.39

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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.