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Finding the Third Proportional to 116,916 and 171,000

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Solution

The third proportional to 116,916 and 171,000 is: 250,102.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,916 : 171,000 = 171,000 : x
  2. Step 2: Convert to fraction form
    116,916/171,000 = 171,000/x
  3. Step 3: Cross multiply
    116,916x = 171,000 × 171,000
  4. Step 4: Simplify right side
    116,916x = 29,241,000,000
  5. Step 5: Solve for x
    x = 29,241,000,000/116,916
  6. Step 6: Final answer
    x = 250,102.64

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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.