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Finding the Third Proportional to 85,622 and 136,361

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Solution

The third proportional to 85,622 and 136,361 is: 217,167.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,622 : 136,361 = 136,361 : x
  2. Step 2: Convert to fraction form
    85,622/136,361 = 136,361/x
  3. Step 3: Cross multiply
    85,622x = 136,361 × 136,361
  4. Step 4: Simplify right side
    85,622x = 18,594,322,321
  5. Step 5: Solve for x
    x = 18,594,322,321/85,622
  6. Step 6: Final answer
    x = 217,167.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.