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Finding the Third Proportional to 50,478 and 72,693

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Solution

The third proportional to 50,478 and 72,693 is: 104,684.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,478 : 72,693 = 72,693 : x
  2. Step 2: Convert to fraction form
    50,478/72,693 = 72,693/x
  3. Step 3: Cross multiply
    50,478x = 72,693 × 72,693
  4. Step 4: Simplify right side
    50,478x = 5,284,272,249
  5. Step 5: Solve for x
    x = 5,284,272,249/50,478
  6. Step 6: Final answer
    x = 104,684.66

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.