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Finding the Third Proportional to 85,122 and 134,722

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Solution

The third proportional to 85,122 and 134,722 is: 213,223.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,122 : 134,722 = 134,722 : x
  2. Step 2: Convert to fraction form
    85,122/134,722 = 134,722/x
  3. Step 3: Cross multiply
    85,122x = 134,722 × 134,722
  4. Step 4: Simplify right side
    85,122x = 18,150,017,284
  5. Step 5: Solve for x
    x = 18,150,017,284/85,122
  6. Step 6: Final answer
    x = 213,223.58

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.