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Finding the Third Proportional to 85,249 and 129,059

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Solution

The third proportional to 85,249 and 129,059 is: 195,383.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,249 : 129,059 = 129,059 : x
  2. Step 2: Convert to fraction form
    85,249/129,059 = 129,059/x
  3. Step 3: Cross multiply
    85,249x = 129,059 × 129,059
  4. Step 4: Simplify right side
    85,249x = 16,656,225,481
  5. Step 5: Solve for x
    x = 16,656,225,481/85,249
  6. Step 6: Final answer
    x = 195,383.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.