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Finding the Third Proportional to 125,800 and 183,515

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Solution

The third proportional to 125,800 and 183,515 is: 267,708.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,800 : 183,515 = 183,515 : x
  2. Step 2: Convert to fraction form
    125,800/183,515 = 183,515/x
  3. Step 3: Cross multiply
    125,800x = 183,515 × 183,515
  4. Step 4: Simplify right side
    125,800x = 33,677,755,225
  5. Step 5: Solve for x
    x = 33,677,755,225/125,800
  6. Step 6: Final answer
    x = 267,708.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.