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Finding the Third Proportional to 52,786.69 and 109,941.19

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Solution

The third proportional to 52,786.69 and 109,941.19 is: 228,979.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,786.69 : 109,941.19 = 109,941.19 : x
  2. Step 2: Convert to fraction form
    52,786.69/109,941.19 = 109,941.19/x
  3. Step 3: Cross multiply
    52,786.69x = 109,941.19 × 109,941.19
  4. Step 4: Simplify right side
    52,786.69x = 12,087,064,708.91
  5. Step 5: Solve for x
    x = 12,087,064,708.91/52,786.69
  6. Step 6: Final answer
    x = 228,979.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.