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Finding the Third Proportional to 76,544 and 120,687

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Solution

The third proportional to 76,544 and 120,687 is: 190,287.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,544 : 120,687 = 120,687 : x
  2. Step 2: Convert to fraction form
    76,544/120,687 = 120,687/x
  3. Step 3: Cross multiply
    76,544x = 120,687 × 120,687
  4. Step 4: Simplify right side
    76,544x = 14,565,351,969
  5. Step 5: Solve for x
    x = 14,565,351,969/76,544
  6. Step 6: Final answer
    x = 190,287.31

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.