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Finding the Third Proportional to 101,128.50 and 151,692.75

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Solution

The third proportional to 101,128.50 and 151,692.75 is: 227,539.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,128.50 : 151,692.75 = 151,692.75 : x
  2. Step 2: Convert to fraction form
    101,128.50/151,692.75 = 151,692.75/x
  3. Step 3: Cross multiply
    101,128.50x = 151,692.75 × 151,692.75
  4. Step 4: Simplify right side
    101,128.50x = 23,010,690,402.56
  5. Step 5: Solve for x
    x = 23,010,690,402.56/101,128.50
  6. Step 6: Final answer
    x = 227,539.13

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Why These Related Problems?

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