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Finding the Third Proportional to 51,582.94 and 108,764.93

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Solution

The third proportional to 51,582.94 and 108,764.93 is: 229,335.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,582.94 : 108,764.93 = 108,764.93 : x
  2. Step 2: Convert to fraction form
    51,582.94/108,764.93 = 108,764.93/x
  3. Step 3: Cross multiply
    51,582.94x = 108,764.93 × 108,764.93
  4. Step 4: Simplify right side
    51,582.94x = 11,829,809,929.93
  5. Step 5: Solve for x
    x = 11,829,809,929.93/51,582.94
  6. Step 6: Final answer
    x = 229,335.72

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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.