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Finding the Third Proportional to 95,745 and 146,209.50

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Solution

The third proportional to 95,745 and 146,209.50 is: 223,272.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,745 : 146,209.50 = 146,209.50 : x
  2. Step 2: Convert to fraction form
    95,745/146,209.50 = 146,209.50/x
  3. Step 3: Cross multiply
    95,745x = 146,209.50 × 146,209.50
  4. Step 4: Simplify right side
    95,745x = 21,377,217,890.25
  5. Step 5: Solve for x
    x = 21,377,217,890.25/95,745
  6. Step 6: Final answer
    x = 223,272.42

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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.