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Finding the Third Proportional to 79,518 and 119,277

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Solution

The third proportional to 79,518 and 119,277 is: 178,915.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,518 : 119,277 = 119,277 : x
  2. Step 2: Convert to fraction form
    79,518/119,277 = 119,277/x
  3. Step 3: Cross multiply
    79,518x = 119,277 × 119,277
  4. Step 4: Simplify right side
    79,518x = 14,227,002,729
  5. Step 5: Solve for x
    x = 14,227,002,729/79,518
  6. Step 6: Final answer
    x = 178,915.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.