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Finding the Third Proportional to 51,014 and 118,591

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Solution

The third proportional to 51,014 and 118,591 is: 275,685.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,014 : 118,591 = 118,591 : x
  2. Step 2: Convert to fraction form
    51,014/118,591 = 118,591/x
  3. Step 3: Cross multiply
    51,014x = 118,591 × 118,591
  4. Step 4: Simplify right side
    51,014x = 14,063,825,281
  5. Step 5: Solve for x
    x = 14,063,825,281/51,014
  6. Step 6: Final answer
    x = 275,685.60

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.