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Finding the Third Proportional to 87,157 and 184,106

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Solution

The third proportional to 87,157 and 184,106 is: 388,896.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,157 : 184,106 = 184,106 : x
  2. Step 2: Convert to fraction form
    87,157/184,106 = 184,106/x
  3. Step 3: Cross multiply
    87,157x = 184,106 × 184,106
  4. Step 4: Simplify right side
    87,157x = 33,895,019,236
  5. Step 5: Solve for x
    x = 33,895,019,236/87,157
  6. Step 6: Final answer
    x = 388,896.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.