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Finding the Third Proportional to 125,170 and 193,696

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Solution

The third proportional to 125,170 and 193,696 is: 299,737.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,170 : 193,696 = 193,696 : x
  2. Step 2: Convert to fraction form
    125,170/193,696 = 193,696/x
  3. Step 3: Cross multiply
    125,170x = 193,696 × 193,696
  4. Step 4: Simplify right side
    125,170x = 37,518,140,416
  5. Step 5: Solve for x
    x = 37,518,140,416/125,170
  6. Step 6: Final answer
    x = 299,737.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.