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Finding the Third Proportional to 66,500 and 110,828

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Solution

The third proportional to 66,500 and 110,828 is: 184,704.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,500 : 110,828 = 110,828 : x
  2. Step 2: Convert to fraction form
    66,500/110,828 = 110,828/x
  3. Step 3: Cross multiply
    66,500x = 110,828 × 110,828
  4. Step 4: Simplify right side
    66,500x = 12,282,845,584
  5. Step 5: Solve for x
    x = 12,282,845,584/66,500
  6. Step 6: Final answer
    x = 184,704.44

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.