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Finding the Third Proportional to 48,511 and 106,039.75

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Solution

The third proportional to 48,511 and 106,039.75 is: 231,791.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,511 : 106,039.75 = 106,039.75 : x
  2. Step 2: Convert to fraction form
    48,511/106,039.75 = 106,039.75/x
  3. Step 3: Cross multiply
    48,511x = 106,039.75 × 106,039.75
  4. Step 4: Simplify right side
    48,511x = 11,244,428,580.06
  5. Step 5: Solve for x
    x = 11,244,428,580.06/48,511
  6. Step 6: Final answer
    x = 231,791.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.