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Finding the Third Proportional to 51,134.63 and 109,859.63

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Solution

The third proportional to 51,134.63 and 109,859.63 is: 236,026.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,134.63 : 109,859.63 = 109,859.63 : x
  2. Step 2: Convert to fraction form
    51,134.63/109,859.63 = 109,859.63/x
  3. Step 3: Cross multiply
    51,134.63x = 109,859.63 × 109,859.63
  4. Step 4: Simplify right side
    51,134.63x = 12,069,137,205.14
  5. Step 5: Solve for x
    x = 12,069,137,205.14/51,134.63
  6. Step 6: Final answer
    x = 236,026.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.