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Finding the Third Proportional to 85,592 and 133,054

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Solution

The third proportional to 85,592 and 133,054 is: 206,834.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,592 : 133,054 = 133,054 : x
  2. Step 2: Convert to fraction form
    85,592/133,054 = 133,054/x
  3. Step 3: Cross multiply
    85,592x = 133,054 × 133,054
  4. Step 4: Simplify right side
    85,592x = 17,703,366,916
  5. Step 5: Solve for x
    x = 17,703,366,916/85,592
  6. Step 6: Final answer
    x = 206,834.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.