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Finding the Third Proportional to 36,724 and 79,172

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Solution

The third proportional to 36,724 and 79,172 is: 170,684.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,724 : 79,172 = 79,172 : x
  2. Step 2: Convert to fraction form
    36,724/79,172 = 79,172/x
  3. Step 3: Cross multiply
    36,724x = 79,172 × 79,172
  4. Step 4: Simplify right side
    36,724x = 6,268,205,584
  5. Step 5: Solve for x
    x = 6,268,205,584/36,724
  6. Step 6: Final answer
    x = 170,684.17

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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.