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Finding the Third Proportional to 84,173 and 180,168

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Solution

The third proportional to 84,173 and 180,168 is: 385,640.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,173 : 180,168 = 180,168 : x
  2. Step 2: Convert to fraction form
    84,173/180,168 = 180,168/x
  3. Step 3: Cross multiply
    84,173x = 180,168 × 180,168
  4. Step 4: Simplify right side
    84,173x = 32,460,508,224
  5. Step 5: Solve for x
    x = 32,460,508,224/84,173
  6. Step 6: Final answer
    x = 385,640.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.