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Finding the Third Proportional to 48,937.50 and 104,283.75

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Solution

The third proportional to 48,937.50 and 104,283.75 is: 222,224.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,937.50 : 104,283.75 = 104,283.75 : x
  2. Step 2: Convert to fraction form
    48,937.50/104,283.75 = 104,283.75/x
  3. Step 3: Cross multiply
    48,937.50x = 104,283.75 × 104,283.75
  4. Step 4: Simplify right side
    48,937.50x = 10,875,100,514.06
  5. Step 5: Solve for x
    x = 10,875,100,514.06/48,937.50
  6. Step 6: Final answer
    x = 222,224.28

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.