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Finding the Third Proportional to 82,270.69 and 174,921.19

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Solution

The third proportional to 82,270.69 and 174,921.19 is: 371,911.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,270.69 : 174,921.19 = 174,921.19 : x
  2. Step 2: Convert to fraction form
    82,270.69/174,921.19 = 174,921.19/x
  3. Step 3: Cross multiply
    82,270.69x = 174,921.19 × 174,921.19
  4. Step 4: Simplify right side
    82,270.69x = 30,597,421,836.41
  5. Step 5: Solve for x
    x = 30,597,421,836.41/82,270.69
  6. Step 6: Final answer
    x = 371,911.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.