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Finding the Third Proportional to 50,534 and 73,959

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Solution

The third proportional to 50,534 and 73,959 is: 108,242.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,534 : 73,959 = 73,959 : x
  2. Step 2: Convert to fraction form
    50,534/73,959 = 73,959/x
  3. Step 3: Cross multiply
    50,534x = 73,959 × 73,959
  4. Step 4: Simplify right side
    50,534x = 5,469,933,681
  5. Step 5: Solve for x
    x = 5,469,933,681/50,534
  6. Step 6: Final answer
    x = 108,242.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.