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Finding the Third Proportional to 65,692.13 and 100,178.44

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Solution

The third proportional to 65,692.13 and 100,178.44 is: 152,768.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,692.13 : 100,178.44 = 100,178.44 : x
  2. Step 2: Convert to fraction form
    65,692.13/100,178.44 = 100,178.44/x
  3. Step 3: Cross multiply
    65,692.13x = 100,178.44 × 100,178.44
  4. Step 4: Simplify right side
    65,692.13x = 10,035,719,339.94
  5. Step 5: Solve for x
    x = 10,035,719,339.94/65,692.13
  6. Step 6: Final answer
    x = 152,768.99

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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.