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Finding the Third Proportional to 108,634.50 and 146,184.75

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Solution

The third proportional to 108,634.50 and 146,184.75 is: 196,714.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,634.50 : 146,184.75 = 146,184.75 : x
  2. Step 2: Convert to fraction form
    108,634.50/146,184.75 = 146,184.75/x
  3. Step 3: Cross multiply
    108,634.50x = 146,184.75 × 146,184.75
  4. Step 4: Simplify right side
    108,634.50x = 21,369,981,132.56
  5. Step 5: Solve for x
    x = 21,369,981,132.56/108,634.50
  6. Step 6: Final answer
    x = 196,714.50

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.