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Finding the Third Proportional to 48,036 and 103,472

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Solution

The third proportional to 48,036 and 103,472 is: 222,883.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,036 : 103,472 = 103,472 : x
  2. Step 2: Convert to fraction form
    48,036/103,472 = 103,472/x
  3. Step 3: Cross multiply
    48,036x = 103,472 × 103,472
  4. Step 4: Simplify right side
    48,036x = 10,706,454,784
  5. Step 5: Solve for x
    x = 10,706,454,784/48,036
  6. Step 6: Final answer
    x = 222,883.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.