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Finding the Third Proportional to 125,824 and 196,350

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Solution

The third proportional to 125,824 and 196,350 is: 306,406.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,824 : 196,350 = 196,350 : x
  2. Step 2: Convert to fraction form
    125,824/196,350 = 196,350/x
  3. Step 3: Cross multiply
    125,824x = 196,350 × 196,350
  4. Step 4: Simplify right side
    125,824x = 38,553,322,500
  5. Step 5: Solve for x
    x = 38,553,322,500/125,824
  6. Step 6: Final answer
    x = 306,406.75

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.