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Finding the Third Proportional to 57,492 and 76,734

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Solution

The third proportional to 57,492 and 76,734 is: 102,416.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,492 : 76,734 = 76,734 : x
  2. Step 2: Convert to fraction form
    57,492/76,734 = 76,734/x
  3. Step 3: Cross multiply
    57,492x = 76,734 × 76,734
  4. Step 4: Simplify right side
    57,492x = 5,888,106,756
  5. Step 5: Solve for x
    x = 5,888,106,756/57,492
  6. Step 6: Final answer
    x = 102,416.11

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.