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Finding the Third Proportional to 51,475.88 and 78,204.75

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Solution

The third proportional to 51,475.88 and 78,204.75 is: 118,812.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,475.88 : 78,204.75 = 78,204.75 : x
  2. Step 2: Convert to fraction form
    51,475.88/78,204.75 = 78,204.75/x
  3. Step 3: Cross multiply
    51,475.88x = 78,204.75 × 78,204.75
  4. Step 4: Simplify right side
    51,475.88x = 6,115,982,922.56
  5. Step 5: Solve for x
    x = 6,115,982,922.56/51,475.88
  6. Step 6: Final answer
    x = 118,812.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.