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Finding the Third Proportional to 48,296.25 and 103,734

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Solution

The third proportional to 48,296.25 and 103,734 is: 222,807.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,296.25 : 103,734 = 103,734 : x
  2. Step 2: Convert to fraction form
    48,296.25/103,734 = 103,734/x
  3. Step 3: Cross multiply
    48,296.25x = 103,734 × 103,734
  4. Step 4: Simplify right side
    48,296.25x = 10,760,742,756
  5. Step 5: Solve for x
    x = 10,760,742,756/48,296.25
  6. Step 6: Final answer
    x = 222,807.00

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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.