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Finding the Third Proportional to 95,019 and 148,279.50

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Solution

The third proportional to 95,019 and 148,279.50 is: 231,393.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,019 : 148,279.50 = 148,279.50 : x
  2. Step 2: Convert to fraction form
    95,019/148,279.50 = 148,279.50/x
  3. Step 3: Cross multiply
    95,019x = 148,279.50 × 148,279.50
  4. Step 4: Simplify right side
    95,019x = 21,986,810,120.25
  5. Step 5: Solve for x
    x = 21,986,810,120.25/95,019
  6. Step 6: Final answer
    x = 231,393.83

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.