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Finding the Third Proportional to 51,159 and 120,596.63

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Solution

The third proportional to 51,159 and 120,596.63 is: 284,281.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,159 : 120,596.63 = 120,596.63 : x
  2. Step 2: Convert to fraction form
    51,159/120,596.63 = 120,596.63/x
  3. Step 3: Cross multiply
    51,159x = 120,596.63 × 120,596.63
  4. Step 4: Simplify right side
    51,159x = 14,543,545,961.39
  5. Step 5: Solve for x
    x = 14,543,545,961.39/51,159
  6. Step 6: Final answer
    x = 284,281.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.