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Finding the Third Proportional to 129,375.75 and 196,252.13

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Solution

The third proportional to 129,375.75 and 196,252.13 is: 297,697.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,375.75 : 196,252.13 = 196,252.13 : x
  2. Step 2: Convert to fraction form
    129,375.75/196,252.13 = 196,252.13/x
  3. Step 3: Cross multiply
    129,375.75x = 196,252.13 × 196,252.13
  4. Step 4: Simplify right side
    129,375.75x = 38,514,896,567.02
  5. Step 5: Solve for x
    x = 38,514,896,567.02/129,375.75
  6. Step 6: Final answer
    x = 297,697.96

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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.