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Finding the Third Proportional to 110,557 and 166,760

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Solution

The third proportional to 110,557 and 166,760 is: 251,534.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,557 : 166,760 = 166,760 : x
  2. Step 2: Convert to fraction form
    110,557/166,760 = 166,760/x
  3. Step 3: Cross multiply
    110,557x = 166,760 × 166,760
  4. Step 4: Simplify right side
    110,557x = 27,808,897,600
  5. Step 5: Solve for x
    x = 27,808,897,600/110,557
  6. Step 6: Final answer
    x = 251,534.48

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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.