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Finding the Third Proportional to 82,626.75 and 178,372.13

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Solution

The third proportional to 82,626.75 and 178,372.13 is: 385,064.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,626.75 : 178,372.13 = 178,372.13 : x
  2. Step 2: Convert to fraction form
    82,626.75/178,372.13 = 178,372.13/x
  3. Step 3: Cross multiply
    82,626.75x = 178,372.13 × 178,372.13
  4. Step 4: Simplify right side
    82,626.75x = 31,816,614,977.02
  5. Step 5: Solve for x
    x = 31,816,614,977.02/82,626.75
  6. Step 6: Final answer
    x = 385,064.34

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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.