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Finding the Third Proportional to 61,996 and 95,100

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Solution

The third proportional to 61,996 and 95,100 is: 145,880.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,996 : 95,100 = 95,100 : x
  2. Step 2: Convert to fraction form
    61,996/95,100 = 95,100/x
  3. Step 3: Cross multiply
    61,996x = 95,100 × 95,100
  4. Step 4: Simplify right side
    61,996x = 9,044,010,000
  5. Step 5: Solve for x
    x = 9,044,010,000/61,996
  6. Step 6: Final answer
    x = 145,880.54

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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.