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Finding the Third Proportional to 125,697 and 175,825

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Solution

The third proportional to 125,697 and 175,825 is: 245,944.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,697 : 175,825 = 175,825 : x
  2. Step 2: Convert to fraction form
    125,697/175,825 = 175,825/x
  3. Step 3: Cross multiply
    125,697x = 175,825 × 175,825
  4. Step 4: Simplify right side
    125,697x = 30,914,430,625
  5. Step 5: Solve for x
    x = 30,914,430,625/125,697
  6. Step 6: Final answer
    x = 245,944.06

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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.