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Finding the Third Proportional to 57,376 and 76,168

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Solution

The third proportional to 57,376 and 76,168 is: 101,114.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,376 : 76,168 = 76,168 : x
  2. Step 2: Convert to fraction form
    57,376/76,168 = 76,168/x
  3. Step 3: Cross multiply
    57,376x = 76,168 × 76,168
  4. Step 4: Simplify right side
    57,376x = 5,801,564,224
  5. Step 5: Solve for x
    x = 5,801,564,224/57,376
  6. Step 6: Final answer
    x = 101,114.83

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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.