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Finding the Third Proportional to 110,427 and 167,692.50

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Solution

The third proportional to 110,427 and 167,692.50 is: 254,654.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,427 : 167,692.50 = 167,692.50 : x
  2. Step 2: Convert to fraction form
    110,427/167,692.50 = 167,692.50/x
  3. Step 3: Cross multiply
    110,427x = 167,692.50 × 167,692.50
  4. Step 4: Simplify right side
    110,427x = 28,120,774,556.25
  5. Step 5: Solve for x
    x = 28,120,774,556.25/110,427
  6. Step 6: Final answer
    x = 254,654.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.