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Finding the Third Proportional to 82,125.75 and 177,359.25

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Solution

The third proportional to 82,125.75 and 177,359.25 is: 383,026.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,125.75 : 177,359.25 = 177,359.25 : x
  2. Step 2: Convert to fraction form
    82,125.75/177,359.25 = 177,359.25/x
  3. Step 3: Cross multiply
    82,125.75x = 177,359.25 × 177,359.25
  4. Step 4: Simplify right side
    82,125.75x = 31,456,303,560.56
  5. Step 5: Solve for x
    x = 31,456,303,560.56/82,125.75
  6. Step 6: Final answer
    x = 383,026.07

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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.