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Finding the Third Proportional to 51,042 and 77,649

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Solution

The third proportional to 51,042 and 77,649 is: 118,125.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,042 : 77,649 = 77,649 : x
  2. Step 2: Convert to fraction form
    51,042/77,649 = 77,649/x
  3. Step 3: Cross multiply
    51,042x = 77,649 × 77,649
  4. Step 4: Simplify right side
    51,042x = 6,029,367,201
  5. Step 5: Solve for x
    x = 6,029,367,201/51,042
  6. Step 6: Final answer
    x = 118,125.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.