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Finding the Third Proportional to 82,172 and 176,608

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Solution

The third proportional to 82,172 and 176,608 is: 379,574.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,172 : 176,608 = 176,608 : x
  2. Step 2: Convert to fraction form
    82,172/176,608 = 176,608/x
  3. Step 3: Cross multiply
    82,172x = 176,608 × 176,608
  4. Step 4: Simplify right side
    82,172x = 31,190,385,664
  5. Step 5: Solve for x
    x = 31,190,385,664/82,172
  6. Step 6: Final answer
    x = 379,574.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.