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Finding the Third Proportional to 51,732 and 79,101

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Solution

The third proportional to 51,732 and 79,101 is: 120,949.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,732 : 79,101 = 79,101 : x
  2. Step 2: Convert to fraction form
    51,732/79,101 = 79,101/x
  3. Step 3: Cross multiply
    51,732x = 79,101 × 79,101
  4. Step 4: Simplify right side
    51,732x = 6,256,968,201
  5. Step 5: Solve for x
    x = 6,256,968,201/51,732
  6. Step 6: Final answer
    x = 120,949.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.