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Finding the Third Proportional to 108,605 and 159,025

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Solution

The third proportional to 108,605 and 159,025 is: 232,852.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,605 : 159,025 = 159,025 : x
  2. Step 2: Convert to fraction form
    108,605/159,025 = 159,025/x
  3. Step 3: Cross multiply
    108,605x = 159,025 × 159,025
  4. Step 4: Simplify right side
    108,605x = 25,288,950,625
  5. Step 5: Solve for x
    x = 25,288,950,625/108,605
  6. Step 6: Final answer
    x = 232,852.54

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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.