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Finding the Third Proportional to 125,578 and 175,999

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Solution

The third proportional to 125,578 and 175,999 is: 246,664.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,578 : 175,999 = 175,999 : x
  2. Step 2: Convert to fraction form
    125,578/175,999 = 175,999/x
  3. Step 3: Cross multiply
    125,578x = 175,999 × 175,999
  4. Step 4: Simplify right side
    125,578x = 30,975,648,001
  5. Step 5: Solve for x
    x = 30,975,648,001/125,578
  6. Step 6: Final answer
    x = 246,664.61

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.