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Finding the Third Proportional to 84,696 and 184,155

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Solution

The third proportional to 84,696 and 184,155 is: 400,409.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,696 : 184,155 = 184,155 : x
  2. Step 2: Convert to fraction form
    84,696/184,155 = 184,155/x
  3. Step 3: Cross multiply
    84,696x = 184,155 × 184,155
  4. Step 4: Simplify right side
    84,696x = 33,913,064,025
  5. Step 5: Solve for x
    x = 33,913,064,025/84,696
  6. Step 6: Final answer
    x = 400,409.28

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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.