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Finding the Third Proportional to 48,534.75 and 104,874.75

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Solution

The third proportional to 48,534.75 and 104,874.75 is: 226,615.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,534.75 : 104,874.75 = 104,874.75 : x
  2. Step 2: Convert to fraction form
    48,534.75/104,874.75 = 104,874.75/x
  3. Step 3: Cross multiply
    48,534.75x = 104,874.75 × 104,874.75
  4. Step 4: Simplify right side
    48,534.75x = 10,998,713,187.56
  5. Step 5: Solve for x
    x = 10,998,713,187.56/48,534.75
  6. Step 6: Final answer
    x = 226,615.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.