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Finding the Third Proportional to 125,014 and 166,999

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Solution

The third proportional to 125,014 and 166,999 is: 223,084.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,014 : 166,999 = 166,999 : x
  2. Step 2: Convert to fraction form
    125,014/166,999 = 166,999/x
  3. Step 3: Cross multiply
    125,014x = 166,999 × 166,999
  4. Step 4: Simplify right side
    125,014x = 27,888,666,001
  5. Step 5: Solve for x
    x = 27,888,666,001/125,014
  6. Step 6: Final answer
    x = 223,084.34

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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.