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Finding the Third Proportional to 95,967 and 146,884.50

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Solution

The third proportional to 95,967 and 146,884.50 is: 224,817.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,967 : 146,884.50 = 146,884.50 : x
  2. Step 2: Convert to fraction form
    95,967/146,884.50 = 146,884.50/x
  3. Step 3: Cross multiply
    95,967x = 146,884.50 × 146,884.50
  4. Step 4: Simplify right side
    95,967x = 21,575,056,340.25
  5. Step 5: Solve for x
    x = 21,575,056,340.25/95,967
  6. Step 6: Final answer
    x = 224,817.45

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.