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Finding the Third Proportional to 111,538.90 and 167,556.09

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Solution

The third proportional to 111,538.90 and 167,556.09 is: 251,706.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,538.90 : 167,556.09 = 167,556.09 : x
  2. Step 2: Convert to fraction form
    111,538.90/167,556.09 = 167,556.09/x
  3. Step 3: Cross multiply
    111,538.90x = 167,556.09 × 167,556.09
  4. Step 4: Simplify right side
    111,538.90x = 28,075,044,552.76
  5. Step 5: Solve for x
    x = 28,075,044,552.76/111,538.90
  6. Step 6: Final answer
    x = 251,706.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.