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Finding the Third Proportional to 67,096 and 86,052

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Solution

The third proportional to 67,096 and 86,052 is: 110,363.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,096 : 86,052 = 86,052 : x
  2. Step 2: Convert to fraction form
    67,096/86,052 = 86,052/x
  3. Step 3: Cross multiply
    67,096x = 86,052 × 86,052
  4. Step 4: Simplify right side
    67,096x = 7,404,946,704
  5. Step 5: Solve for x
    x = 7,404,946,704/67,096
  6. Step 6: Final answer
    x = 110,363.46

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.