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Finding the Third Proportional to 50,188 and 73,897

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Solution

The third proportional to 50,188 and 73,897 is: 108,806.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,188 : 73,897 = 73,897 : x
  2. Step 2: Convert to fraction form
    50,188/73,897 = 73,897/x
  3. Step 3: Cross multiply
    50,188x = 73,897 × 73,897
  4. Step 4: Simplify right side
    50,188x = 5,460,766,609
  5. Step 5: Solve for x
    x = 5,460,766,609/50,188
  6. Step 6: Final answer
    x = 108,806.22

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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.