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Finding the Third Proportional to 48,215.75 and 103,674.25

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Solution

The third proportional to 48,215.75 and 103,674.25 is: 222,921.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,215.75 : 103,674.25 = 103,674.25 : x
  2. Step 2: Convert to fraction form
    48,215.75/103,674.25 = 103,674.25/x
  3. Step 3: Cross multiply
    48,215.75x = 103,674.25 × 103,674.25
  4. Step 4: Simplify right side
    48,215.75x = 10,748,350,113.06
  5. Step 5: Solve for x
    x = 10,748,350,113.06/48,215.75
  6. Step 6: Final answer
    x = 222,921.97

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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.