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Finding the Third Proportional to 52,786.05 and 114,866.86

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Solution

The third proportional to 52,786.05 and 114,866.86 is: 249,959.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,786.05 : 114,866.86 = 114,866.86 : x
  2. Step 2: Convert to fraction form
    52,786.05/114,866.86 = 114,866.86/x
  3. Step 3: Cross multiply
    52,786.05x = 114,866.86 × 114,866.86
  4. Step 4: Simplify right side
    52,786.05x = 13,194,395,382.68
  5. Step 5: Solve for x
    x = 13,194,395,382.68/52,786.05
  6. Step 6: Final answer
    x = 249,959.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.