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Finding the Third Proportional to 49,500.75 and 105,135.75

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Solution

The third proportional to 49,500.75 and 105,135.75 is: 223,300.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,500.75 : 105,135.75 = 105,135.75 : x
  2. Step 2: Convert to fraction form
    49,500.75/105,135.75 = 105,135.75/x
  3. Step 3: Cross multiply
    49,500.75x = 105,135.75 × 105,135.75
  4. Step 4: Simplify right side
    49,500.75x = 11,053,525,928.06
  5. Step 5: Solve for x
    x = 11,053,525,928.06/49,500.75
  6. Step 6: Final answer
    x = 223,300.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.