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Finding the Third Proportional to 48,745.13 and 104,744.25

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Solution

The third proportional to 48,745.13 and 104,744.25 is: 225,076.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,745.13 : 104,744.25 = 104,744.25 : x
  2. Step 2: Convert to fraction form
    48,745.13/104,744.25 = 104,744.25/x
  3. Step 3: Cross multiply
    48,745.13x = 104,744.25 × 104,744.25
  4. Step 4: Simplify right side
    48,745.13x = 10,971,357,908.06
  5. Step 5: Solve for x
    x = 10,971,357,908.06/48,745.13
  6. Step 6: Final answer
    x = 225,076.00

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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.