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Finding the Third Proportional to 85,186 and 133,652

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Solution

The third proportional to 85,186 and 133,652 is: 209,692.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,186 : 133,652 = 133,652 : x
  2. Step 2: Convert to fraction form
    85,186/133,652 = 133,652/x
  3. Step 3: Cross multiply
    85,186x = 133,652 × 133,652
  4. Step 4: Simplify right side
    85,186x = 17,862,857,104
  5. Step 5: Solve for x
    x = 17,862,857,104/85,186
  6. Step 6: Final answer
    x = 209,692.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.