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Finding the Third Proportional to 79,545 and 111,496.50

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Solution

The third proportional to 79,545 and 111,496.50 is: 156,282.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,545 : 111,496.50 = 111,496.50 : x
  2. Step 2: Convert to fraction form
    79,545/111,496.50 = 111,496.50/x
  3. Step 3: Cross multiply
    79,545x = 111,496.50 × 111,496.50
  4. Step 4: Simplify right side
    79,545x = 12,431,469,512.25
  5. Step 5: Solve for x
    x = 12,431,469,512.25/79,545
  6. Step 6: Final answer
    x = 156,282.22

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.