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Finding the Third Proportional to 111,679.50 and 174,810

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Solution

The third proportional to 111,679.50 and 174,810 is: 273,627.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,679.50 : 174,810 = 174,810 : x
  2. Step 2: Convert to fraction form
    111,679.50/174,810 = 174,810/x
  3. Step 3: Cross multiply
    111,679.50x = 174,810 × 174,810
  4. Step 4: Simplify right side
    111,679.50x = 30,558,536,100
  5. Step 5: Solve for x
    x = 30,558,536,100/111,679.50
  6. Step 6: Final answer
    x = 273,627.09

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.