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Finding the Third Proportional to 53,131 and 110,596

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Solution

The third proportional to 53,131 and 110,596 is: 230,213.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,131 : 110,596 = 110,596 : x
  2. Step 2: Convert to fraction form
    53,131/110,596 = 110,596/x
  3. Step 3: Cross multiply
    53,131x = 110,596 × 110,596
  4. Step 4: Simplify right side
    53,131x = 12,231,475,216
  5. Step 5: Solve for x
    x = 12,231,475,216/53,131
  6. Step 6: Final answer
    x = 230,213.53

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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.