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Finding the Third Proportional to 135,937.75 and 204,692.25

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Solution

The third proportional to 135,937.75 and 204,692.25 is: 308,221.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,937.75 : 204,692.25 = 204,692.25 : x
  2. Step 2: Convert to fraction form
    135,937.75/204,692.25 = 204,692.25/x
  3. Step 3: Cross multiply
    135,937.75x = 204,692.25 × 204,692.25
  4. Step 4: Simplify right side
    135,937.75x = 41,898,917,210.06
  5. Step 5: Solve for x
    x = 41,898,917,210.06/135,937.75
  6. Step 6: Final answer
    x = 308,221.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.