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Finding the Third Proportional to 48,254 and 106,324

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Solution

The third proportional to 48,254 and 106,324 is: 234,276.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,254 : 106,324 = 106,324 : x
  2. Step 2: Convert to fraction form
    48,254/106,324 = 106,324/x
  3. Step 3: Cross multiply
    48,254x = 106,324 × 106,324
  4. Step 4: Simplify right side
    48,254x = 11,304,792,976
  5. Step 5: Solve for x
    x = 11,304,792,976/48,254
  6. Step 6: Final answer
    x = 234,276.81

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.