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Finding the Third Proportional to 86,827 and 184,313

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Solution

The third proportional to 86,827 and 184,313 is: 391,252.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,827 : 184,313 = 184,313 : x
  2. Step 2: Convert to fraction form
    86,827/184,313 = 184,313/x
  3. Step 3: Cross multiply
    86,827x = 184,313 × 184,313
  4. Step 4: Simplify right side
    86,827x = 33,971,281,969
  5. Step 5: Solve for x
    x = 33,971,281,969/86,827
  6. Step 6: Final answer
    x = 391,252.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.