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Finding the Third Proportional to 48,622 and 72,852

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Solution

The third proportional to 48,622 and 72,852 is: 109,156.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,622 : 72,852 = 72,852 : x
  2. Step 2: Convert to fraction form
    48,622/72,852 = 72,852/x
  3. Step 3: Cross multiply
    48,622x = 72,852 × 72,852
  4. Step 4: Simplify right side
    48,622x = 5,307,413,904
  5. Step 5: Solve for x
    x = 5,307,413,904/48,622
  6. Step 6: Final answer
    x = 109,156.63

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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.