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Finding the Third Proportional to 82,696 and 180,376

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Solution

The third proportional to 82,696 and 180,376 is: 393,435.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,696 : 180,376 = 180,376 : x
  2. Step 2: Convert to fraction form
    82,696/180,376 = 180,376/x
  3. Step 3: Cross multiply
    82,696x = 180,376 × 180,376
  4. Step 4: Simplify right side
    82,696x = 32,535,501,376
  5. Step 5: Solve for x
    x = 32,535,501,376/82,696
  6. Step 6: Final answer
    x = 393,435.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.