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Finding the Third Proportional to 85,257 and 133,452

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Solution

The third proportional to 85,257 and 133,452 is: 208,891.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,257 : 133,452 = 133,452 : x
  2. Step 2: Convert to fraction form
    85,257/133,452 = 133,452/x
  3. Step 3: Cross multiply
    85,257x = 133,452 × 133,452
  4. Step 4: Simplify right side
    85,257x = 17,809,436,304
  5. Step 5: Solve for x
    x = 17,809,436,304/85,257
  6. Step 6: Final answer
    x = 208,891.19

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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.