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Finding the Third Proportional to 85,212 and 133,380

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Solution

The third proportional to 85,212 and 133,380 is: 208,776.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,212 : 133,380 = 133,380 : x
  2. Step 2: Convert to fraction form
    85,212/133,380 = 133,380/x
  3. Step 3: Cross multiply
    85,212x = 133,380 × 133,380
  4. Step 4: Simplify right side
    85,212x = 17,790,224,400
  5. Step 5: Solve for x
    x = 17,790,224,400/85,212
  6. Step 6: Final answer
    x = 208,776.05

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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.