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Finding the Third Proportional to 66,802 and 158,257

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Solution

The third proportional to 66,802 and 158,257 is: 374,918.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,802 : 158,257 = 158,257 : x
  2. Step 2: Convert to fraction form
    66,802/158,257 = 158,257/x
  3. Step 3: Cross multiply
    66,802x = 158,257 × 158,257
  4. Step 4: Simplify right side
    66,802x = 25,045,278,049
  5. Step 5: Solve for x
    x = 25,045,278,049/66,802
  6. Step 6: Final answer
    x = 374,918.09

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.