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Finding the Third Proportional to 56,376 and 131,085

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Solution

The third proportional to 56,376 and 131,085 is: 304,797.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,376 : 131,085 = 131,085 : x
  2. Step 2: Convert to fraction form
    56,376/131,085 = 131,085/x
  3. Step 3: Cross multiply
    56,376x = 131,085 × 131,085
  4. Step 4: Simplify right side
    56,376x = 17,183,277,225
  5. Step 5: Solve for x
    x = 17,183,277,225/56,376
  6. Step 6: Final answer
    x = 304,797.74

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.