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Finding the Third Proportional to 125,012 and 166,996

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Solution

The third proportional to 125,012 and 166,996 is: 223,079.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,012 : 166,996 = 166,996 : x
  2. Step 2: Convert to fraction form
    125,012/166,996 = 166,996/x
  3. Step 3: Cross multiply
    125,012x = 166,996 × 166,996
  4. Step 4: Simplify right side
    125,012x = 27,887,664,016
  5. Step 5: Solve for x
    x = 27,887,664,016/125,012
  6. Step 6: Final answer
    x = 223,079.90

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.