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Finding the Third Proportional to 50,254 and 73,882

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Solution

The third proportional to 50,254 and 73,882 is: 108,619.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,254 : 73,882 = 73,882 : x
  2. Step 2: Convert to fraction form
    50,254/73,882 = 73,882/x
  3. Step 3: Cross multiply
    50,254x = 73,882 × 73,882
  4. Step 4: Simplify right side
    50,254x = 5,458,549,924
  5. Step 5: Solve for x
    x = 5,458,549,924/50,254
  6. Step 6: Final answer
    x = 108,619.21

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