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Finding the Third Proportional to 57,834 and 125,928

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Solution

The third proportional to 57,834 and 125,928 is: 274,196.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,834 : 125,928 = 125,928 : x
  2. Step 2: Convert to fraction form
    57,834/125,928 = 125,928/x
  3. Step 3: Cross multiply
    57,834x = 125,928 × 125,928
  4. Step 4: Simplify right side
    57,834x = 15,857,861,184
  5. Step 5: Solve for x
    x = 15,857,861,184/57,834
  6. Step 6: Final answer
    x = 274,196.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.