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Finding the Third Proportional to 110,770 and 166,120

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Solution

The third proportional to 110,770 and 166,120 is: 249,127.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,770 : 166,120 = 166,120 : x
  2. Step 2: Convert to fraction form
    110,770/166,120 = 166,120/x
  3. Step 3: Cross multiply
    110,770x = 166,120 × 166,120
  4. Step 4: Simplify right side
    110,770x = 27,595,854,400
  5. Step 5: Solve for x
    x = 27,595,854,400/110,770
  6. Step 6: Final answer
    x = 249,127.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.