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Finding the Third Proportional to 125,412.75 and 196,443

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Solution

The third proportional to 125,412.75 and 196,443 is: 307,702.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,412.75 : 196,443 = 196,443 : x
  2. Step 2: Convert to fraction form
    125,412.75/196,443 = 196,443/x
  3. Step 3: Cross multiply
    125,412.75x = 196,443 × 196,443
  4. Step 4: Simplify right side
    125,412.75x = 38,589,852,249
  5. Step 5: Solve for x
    x = 38,589,852,249/125,412.75
  6. Step 6: Final answer
    x = 307,702.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.