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Finding the Third Proportional to 79,746 and 170,936

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Solution

The third proportional to 79,746 and 170,936 is: 366,402.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,746 : 170,936 = 170,936 : x
  2. Step 2: Convert to fraction form
    79,746/170,936 = 170,936/x
  3. Step 3: Cross multiply
    79,746x = 170,936 × 170,936
  4. Step 4: Simplify right side
    79,746x = 29,219,116,096
  5. Step 5: Solve for x
    x = 29,219,116,096/79,746
  6. Step 6: Final answer
    x = 366,402.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.