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Finding the Third Proportional to 50,523.75 and 77,324.63

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Solution

The third proportional to 50,523.75 and 77,324.63 is: 118,342.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,523.75 : 77,324.63 = 77,324.63 : x
  2. Step 2: Convert to fraction form
    50,523.75/77,324.63 = 77,324.63/x
  3. Step 3: Cross multiply
    50,523.75x = 77,324.63 × 77,324.63
  4. Step 4: Simplify right side
    50,523.75x = 5,979,097,631.39
  5. Step 5: Solve for x
    x = 5,979,097,631.39/50,523.75
  6. Step 6: Final answer
    x = 118,342.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.