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Finding the Third Proportional to 82,797 and 176,619

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Solution

The third proportional to 82,797 and 176,619 is: 376,756.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,797 : 176,619 = 176,619 : x
  2. Step 2: Convert to fraction form
    82,797/176,619 = 176,619/x
  3. Step 3: Cross multiply
    82,797x = 176,619 × 176,619
  4. Step 4: Simplify right side
    82,797x = 31,194,271,161
  5. Step 5: Solve for x
    x = 31,194,271,161/82,797
  6. Step 6: Final answer
    x = 376,756.06

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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.