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Finding the Third Proportional to 111,699 and 174,844.50

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Solution

The third proportional to 111,699 and 174,844.50 is: 273,687.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,699 : 174,844.50 = 174,844.50 : x
  2. Step 2: Convert to fraction form
    111,699/174,844.50 = 174,844.50/x
  3. Step 3: Cross multiply
    111,699x = 174,844.50 × 174,844.50
  4. Step 4: Simplify right side
    111,699x = 30,570,599,180.25
  5. Step 5: Solve for x
    x = 30,570,599,180.25/111,699
  6. Step 6: Final answer
    x = 273,687.31

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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.