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Finding the Third Proportional to 51,981.75 and 77,856.75

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Solution

The third proportional to 51,981.75 and 77,856.75 is: 116,611.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,981.75 : 77,856.75 = 77,856.75 : x
  2. Step 2: Convert to fraction form
    51,981.75/77,856.75 = 77,856.75/x
  3. Step 3: Cross multiply
    51,981.75x = 77,856.75 × 77,856.75
  4. Step 4: Simplify right side
    51,981.75x = 6,061,673,520.56
  5. Step 5: Solve for x
    x = 6,061,673,520.56/51,981.75
  6. Step 6: Final answer
    x = 116,611.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.