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Finding the Third Proportional to 82,112 and 177,352

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Solution

The third proportional to 82,112 and 177,352 is: 383,058.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,112 : 177,352 = 177,352 : x
  2. Step 2: Convert to fraction form
    82,112/177,352 = 177,352/x
  3. Step 3: Cross multiply
    82,112x = 177,352 × 177,352
  4. Step 4: Simplify right side
    82,112x = 31,453,731,904
  5. Step 5: Solve for x
    x = 31,453,731,904/82,112
  6. Step 6: Final answer
    x = 383,058.89

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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.