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Finding the Third Proportional to 48,201.75 and 98,752.50

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Solution

The third proportional to 48,201.75 and 98,752.50 is: 202,317.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,201.75 : 98,752.50 = 98,752.50 : x
  2. Step 2: Convert to fraction form
    48,201.75/98,752.50 = 98,752.50/x
  3. Step 3: Cross multiply
    48,201.75x = 98,752.50 × 98,752.50
  4. Step 4: Simplify right side
    48,201.75x = 9,752,056,256.25
  5. Step 5: Solve for x
    x = 9,752,056,256.25/48,201.75
  6. Step 6: Final answer
    x = 202,317.47

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.