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Finding the Third Proportional to 85,792 and 129,318

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Solution

The third proportional to 85,792 and 129,318 is: 194,926.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,792 : 129,318 = 129,318 : x
  2. Step 2: Convert to fraction form
    85,792/129,318 = 129,318/x
  3. Step 3: Cross multiply
    85,792x = 129,318 × 129,318
  4. Step 4: Simplify right side
    85,792x = 16,723,145,124
  5. Step 5: Solve for x
    x = 16,723,145,124/85,792
  6. Step 6: Final answer
    x = 194,926.63

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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.