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Finding the Third Proportional to 76,779 and 118,449

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Solution

The third proportional to 76,779 and 118,449 is: 182,734.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,779 : 118,449 = 118,449 : x
  2. Step 2: Convert to fraction form
    76,779/118,449 = 118,449/x
  3. Step 3: Cross multiply
    76,779x = 118,449 × 118,449
  4. Step 4: Simplify right side
    76,779x = 14,030,165,601
  5. Step 5: Solve for x
    x = 14,030,165,601/76,779
  6. Step 6: Final answer
    x = 182,734.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.