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Finding the Third Proportional to 53,201.81 and 100,252.69

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Solution

The third proportional to 53,201.81 and 100,252.69 is: 188,914.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,201.81 : 100,252.69 = 100,252.69 : x
  2. Step 2: Convert to fraction form
    53,201.81/100,252.69 = 100,252.69/x
  3. Step 3: Cross multiply
    53,201.81x = 100,252.69 × 100,252.69
  4. Step 4: Simplify right side
    53,201.81x = 10,050,601,350.97
  5. Step 5: Solve for x
    x = 10,050,601,350.97/53,201.81
  6. Step 6: Final answer
    x = 188,914.64

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.