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Finding the Third Proportional to 108,609 and 159,019.50

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Solution

The third proportional to 108,609 and 159,019.50 is: 232,827.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,609 : 159,019.50 = 159,019.50 : x
  2. Step 2: Convert to fraction form
    108,609/159,019.50 = 159,019.50/x
  3. Step 3: Cross multiply
    108,609x = 159,019.50 × 159,019.50
  4. Step 4: Simplify right side
    108,609x = 25,287,201,380.25
  5. Step 5: Solve for x
    x = 25,287,201,380.25/108,609
  6. Step 6: Final answer
    x = 232,827.86

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.