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Finding the Third Proportional to 84,896 and 184,534

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Solution

The third proportional to 84,896 and 184,534 is: 401,111.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,896 : 184,534 = 184,534 : x
  2. Step 2: Convert to fraction form
    84,896/184,534 = 184,534/x
  3. Step 3: Cross multiply
    84,896x = 184,534 × 184,534
  4. Step 4: Simplify right side
    84,896x = 34,052,797,156
  5. Step 5: Solve for x
    x = 34,052,797,156/84,896
  6. Step 6: Final answer
    x = 401,111.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.