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Finding the Third Proportional to 82,164 and 177,436

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Solution

The third proportional to 82,164 and 177,436 is: 383,179.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,164 : 177,436 = 177,436 : x
  2. Step 2: Convert to fraction form
    82,164/177,436 = 177,436/x
  3. Step 3: Cross multiply
    82,164x = 177,436 × 177,436
  4. Step 4: Simplify right side
    82,164x = 31,483,534,096
  5. Step 5: Solve for x
    x = 31,483,534,096/82,164
  6. Step 6: Final answer
    x = 383,179.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.