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Finding the Third Proportional to 82,276 and 171,018

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Solution

The third proportional to 82,276 and 171,018 is: 355,476.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,276 : 171,018 = 171,018 : x
  2. Step 2: Convert to fraction form
    82,276/171,018 = 171,018/x
  3. Step 3: Cross multiply
    82,276x = 171,018 × 171,018
  4. Step 4: Simplify right side
    82,276x = 29,247,156,324
  5. Step 5: Solve for x
    x = 29,247,156,324/82,276
  6. Step 6: Final answer
    x = 355,476.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.