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Finding the Third Proportional to 94,286 and 129,747

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Solution

The third proportional to 94,286 and 129,747 is: 178,544.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,286 : 129,747 = 129,747 : x
  2. Step 2: Convert to fraction form
    94,286/129,747 = 129,747/x
  3. Step 3: Cross multiply
    94,286x = 129,747 × 129,747
  4. Step 4: Simplify right side
    94,286x = 16,834,284,009
  5. Step 5: Solve for x
    x = 16,834,284,009/94,286
  6. Step 6: Final answer
    x = 178,544.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.