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Finding the Third Proportional to 79,236 and 175,968

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Solution

The third proportional to 79,236 and 175,968 is: 390,791.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,236 : 175,968 = 175,968 : x
  2. Step 2: Convert to fraction form
    79,236/175,968 = 175,968/x
  3. Step 3: Cross multiply
    79,236x = 175,968 × 175,968
  4. Step 4: Simplify right side
    79,236x = 30,964,737,024
  5. Step 5: Solve for x
    x = 30,964,737,024/79,236
  6. Step 6: Final answer
    x = 390,791.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.