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Finding the Third Proportional to 102,000 and 155,922

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Solution

The third proportional to 102,000 and 155,922 is: 238,349.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,000 : 155,922 = 155,922 : x
  2. Step 2: Convert to fraction form
    102,000/155,922 = 155,922/x
  3. Step 3: Cross multiply
    102,000x = 155,922 × 155,922
  4. Step 4: Simplify right side
    102,000x = 24,311,670,084
  5. Step 5: Solve for x
    x = 24,311,670,084/102,000
  6. Step 6: Final answer
    x = 238,349.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.