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Finding the Third Proportional to 85,353 and 129,208

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Solution

The third proportional to 85,353 and 129,208 is: 195,596.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,353 : 129,208 = 129,208 : x
  2. Step 2: Convert to fraction form
    85,353/129,208 = 129,208/x
  3. Step 3: Cross multiply
    85,353x = 129,208 × 129,208
  4. Step 4: Simplify right side
    85,353x = 16,694,707,264
  5. Step 5: Solve for x
    x = 16,694,707,264/85,353
  6. Step 6: Final answer
    x = 195,596.02

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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.