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Finding the Third Proportional to 80,214 and 171,168

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Solution

The third proportional to 80,214 and 171,168 is: 365,254.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,214 : 171,168 = 171,168 : x
  2. Step 2: Convert to fraction form
    80,214/171,168 = 171,168/x
  3. Step 3: Cross multiply
    80,214x = 171,168 × 171,168
  4. Step 4: Simplify right side
    80,214x = 29,298,484,224
  5. Step 5: Solve for x
    x = 29,298,484,224/80,214
  6. Step 6: Final answer
    x = 365,254.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.