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Finding the Third Proportional to 110,569 and 166,650

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Solution

The third proportional to 110,569 and 166,650 is: 251,175.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,569 : 166,650 = 166,650 : x
  2. Step 2: Convert to fraction form
    110,569/166,650 = 166,650/x
  3. Step 3: Cross multiply
    110,569x = 166,650 × 166,650
  4. Step 4: Simplify right side
    110,569x = 27,772,222,500
  5. Step 5: Solve for x
    x = 27,772,222,500/110,569
  6. Step 6: Final answer
    x = 251,175.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.