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Finding the Third Proportional to 55,063.13 and 105,750.56

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Solution

The third proportional to 55,063.13 and 105,750.56 is: 203,097.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,063.13 : 105,750.56 = 105,750.56 : x
  2. Step 2: Convert to fraction form
    55,063.13/105,750.56 = 105,750.56/x
  3. Step 3: Cross multiply
    55,063.13x = 105,750.56 × 105,750.56
  4. Step 4: Simplify right side
    55,063.13x = 11,183,181,469.07
  5. Step 5: Solve for x
    x = 11,183,181,469.07/55,063.13
  6. Step 6: Final answer
    x = 203,097.47

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.