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Finding the Third Proportional to 129,078.56 and 196,351.59

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Solution

The third proportional to 129,078.56 and 196,351.59 is: 298,685.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,078.56 : 196,351.59 = 196,351.59 : x
  2. Step 2: Convert to fraction form
    129,078.56/196,351.59 = 196,351.59/x
  3. Step 3: Cross multiply
    129,078.56x = 196,351.59 × 196,351.59
  4. Step 4: Simplify right side
    129,078.56x = 38,553,948,368.17
  5. Step 5: Solve for x
    x = 38,553,948,368.17/129,078.56
  6. Step 6: Final answer
    x = 298,685.91

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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.