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Finding the Third Proportional to 48,112.50 and 104,959.50

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Solution

The third proportional to 48,112.50 and 104,959.50 is: 228,973.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,112.50 : 104,959.50 = 104,959.50 : x
  2. Step 2: Convert to fraction form
    48,112.50/104,959.50 = 104,959.50/x
  3. Step 3: Cross multiply
    48,112.50x = 104,959.50 × 104,959.50
  4. Step 4: Simplify right side
    48,112.50x = 11,016,496,640.25
  5. Step 5: Solve for x
    x = 11,016,496,640.25/48,112.50
  6. Step 6: Final answer
    x = 228,973.69

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.