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Finding the Third Proportional to 48,505 and 72,938

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Solution

The third proportional to 48,505 and 72,938 is: 109,678.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,505 : 72,938 = 72,938 : x
  2. Step 2: Convert to fraction form
    48,505/72,938 = 72,938/x
  3. Step 3: Cross multiply
    48,505x = 72,938 × 72,938
  4. Step 4: Simplify right side
    48,505x = 5,319,951,844
  5. Step 5: Solve for x
    x = 5,319,951,844/48,505
  6. Step 6: Final answer
    x = 109,678.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.