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Finding the Third Proportional to 53,838 and 80,230.92

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Solution

The third proportional to 53,838 and 80,230.92 is: 119,562.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,838 : 80,230.92 = 80,230.92 : x
  2. Step 2: Convert to fraction form
    53,838/80,230.92 = 80,230.92/x
  3. Step 3: Cross multiply
    53,838x = 80,230.92 × 80,230.92
  4. Step 4: Simplify right side
    53,838x = 6,437,000,824.91
  5. Step 5: Solve for x
    x = 6,437,000,824.91/53,838
  6. Step 6: Final answer
    x = 119,562.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.