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Finding the Third Proportional to 125,170 and 260,696

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Solution

The third proportional to 125,170 and 260,696 is: 542,960.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,170 : 260,696 = 260,696 : x
  2. Step 2: Convert to fraction form
    125,170/260,696 = 260,696/x
  3. Step 3: Cross multiply
    125,170x = 260,696 × 260,696
  4. Step 4: Simplify right side
    125,170x = 67,962,404,416
  5. Step 5: Solve for x
    x = 67,962,404,416/125,170
  6. Step 6: Final answer
    x = 542,960.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.