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Finding the Third Proportional to 110,524 and 166,710

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Solution

The third proportional to 110,524 and 166,710 is: 251,458.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,524 : 166,710 = 166,710 : x
  2. Step 2: Convert to fraction form
    110,524/166,710 = 166,710/x
  3. Step 3: Cross multiply
    110,524x = 166,710 × 166,710
  4. Step 4: Simplify right side
    110,524x = 27,792,224,100
  5. Step 5: Solve for x
    x = 27,792,224,100/110,524
  6. Step 6: Final answer
    x = 251,458.72

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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.