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Finding the Third Proportional to 82,992 and 119,304

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Solution

The third proportional to 82,992 and 119,304 is: 171,503.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,992 : 119,304 = 119,304 : x
  2. Step 2: Convert to fraction form
    82,992/119,304 = 119,304/x
  3. Step 3: Cross multiply
    82,992x = 119,304 × 119,304
  4. Step 4: Simplify right side
    82,992x = 14,233,444,416
  5. Step 5: Solve for x
    x = 14,233,444,416/82,992
  6. Step 6: Final answer
    x = 171,503.81

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.