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Finding the Third Proportional to 48,161 and 63,904

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Solution

The third proportional to 48,161 and 63,904 is: 84,793.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,161 : 63,904 = 63,904 : x
  2. Step 2: Convert to fraction form
    48,161/63,904 = 63,904/x
  3. Step 3: Cross multiply
    48,161x = 63,904 × 63,904
  4. Step 4: Simplify right side
    48,161x = 4,083,721,216
  5. Step 5: Solve for x
    x = 4,083,721,216/48,161
  6. Step 6: Final answer
    x = 84,793.12

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.