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Finding the Third Proportional to 82,092 and 176,740

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Solution

The third proportional to 82,092 and 176,740 is: 380,512.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,092 : 176,740 = 176,740 : x
  2. Step 2: Convert to fraction form
    82,092/176,740 = 176,740/x
  3. Step 3: Cross multiply
    82,092x = 176,740 × 176,740
  4. Step 4: Simplify right side
    82,092x = 31,237,027,600
  5. Step 5: Solve for x
    x = 31,237,027,600/82,092
  6. Step 6: Final answer
    x = 380,512.44

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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.