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Finding the Third Proportional to 129,475.13 and 196,917.75

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Solution

The third proportional to 129,475.13 and 196,917.75 is: 299,490.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,475.13 : 196,917.75 = 196,917.75 : x
  2. Step 2: Convert to fraction form
    129,475.13/196,917.75 = 196,917.75/x
  3. Step 3: Cross multiply
    129,475.13x = 196,917.75 × 196,917.75
  4. Step 4: Simplify right side
    129,475.13x = 38,776,600,265.06
  5. Step 5: Solve for x
    x = 38,776,600,265.06/129,475.13
  6. Step 6: Final answer
    x = 299,490.73

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.