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Finding the Third Proportional to 63,132.75 and 140,279.06

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Solution

The third proportional to 63,132.75 and 140,279.06 is: 311,695.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,132.75 : 140,279.06 = 140,279.06 : x
  2. Step 2: Convert to fraction form
    63,132.75/140,279.06 = 140,279.06/x
  3. Step 3: Cross multiply
    63,132.75x = 140,279.06 × 140,279.06
  4. Step 4: Simplify right side
    63,132.75x = 19,678,215,375.88
  5. Step 5: Solve for x
    x = 19,678,215,375.88/63,132.75
  6. Step 6: Final answer
    x = 311,695.84

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.