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Finding the Third Proportional to 50,769 and 74,421

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Solution

The third proportional to 50,769 and 74,421 is: 109,091.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,769 : 74,421 = 74,421 : x
  2. Step 2: Convert to fraction form
    50,769/74,421 = 74,421/x
  3. Step 3: Cross multiply
    50,769x = 74,421 × 74,421
  4. Step 4: Simplify right side
    50,769x = 5,538,485,241
  5. Step 5: Solve for x
    x = 5,538,485,241/50,769
  6. Step 6: Final answer
    x = 109,091.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.