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Finding the Third Proportional to 76,801.92 and 168,367.36

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Solution

The third proportional to 76,801.92 and 168,367.36 is: 369,099.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,801.92 : 168,367.36 = 168,367.36 : x
  2. Step 2: Convert to fraction form
    76,801.92/168,367.36 = 168,367.36/x
  3. Step 3: Cross multiply
    76,801.92x = 168,367.36 × 168,367.36
  4. Step 4: Simplify right side
    76,801.92x = 28,347,567,702.91
  5. Step 5: Solve for x
    x = 28,347,567,702.91/76,801.92
  6. Step 6: Final answer
    x = 369,099.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.