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Finding the Third Proportional to 131,451 and 196,951

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Solution

The third proportional to 131,451 and 196,951 is: 295,088.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,451 : 196,951 = 196,951 : x
  2. Step 2: Convert to fraction form
    131,451/196,951 = 196,951/x
  3. Step 3: Cross multiply
    131,451x = 196,951 × 196,951
  4. Step 4: Simplify right side
    131,451x = 38,789,696,401
  5. Step 5: Solve for x
    x = 38,789,696,401/131,451
  6. Step 6: Final answer
    x = 295,088.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.