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Finding the Third Proportional to 51,232.50 and 76,323

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Solution

The third proportional to 51,232.50 and 76,323 is: 113,701.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,232.50 : 76,323 = 76,323 : x
  2. Step 2: Convert to fraction form
    51,232.50/76,323 = 76,323/x
  3. Step 3: Cross multiply
    51,232.50x = 76,323 × 76,323
  4. Step 4: Simplify right side
    51,232.50x = 5,825,200,329
  5. Step 5: Solve for x
    x = 5,825,200,329/51,232.50
  6. Step 6: Final answer
    x = 113,701.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.