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Finding the Third Proportional to 122,984 and 188,045

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Solution

The third proportional to 122,984 and 188,045 is: 287,524.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,984 : 188,045 = 188,045 : x
  2. Step 2: Convert to fraction form
    122,984/188,045 = 188,045/x
  3. Step 3: Cross multiply
    122,984x = 188,045 × 188,045
  4. Step 4: Simplify right side
    122,984x = 35,360,922,025
  5. Step 5: Solve for x
    x = 35,360,922,025/122,984
  6. Step 6: Final answer
    x = 287,524.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.