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Finding the Third Proportional to 51,523.97 and 108,582.94

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Solution

The third proportional to 51,523.97 and 108,582.94 is: 228,830.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,523.97 : 108,582.94 = 108,582.94 : x
  2. Step 2: Convert to fraction form
    51,523.97/108,582.94 = 108,582.94/x
  3. Step 3: Cross multiply
    51,523.97x = 108,582.94 × 108,582.94
  4. Step 4: Simplify right side
    51,523.97x = 11,790,254,316.13
  5. Step 5: Solve for x
    x = 11,790,254,316.13/51,523.97
  6. Step 6: Final answer
    x = 228,830.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.