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Finding the Third Proportional to 108,267 and 155,955

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Solution

The third proportional to 108,267 and 155,955 is: 224,647.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,267 : 155,955 = 155,955 : x
  2. Step 2: Convert to fraction form
    108,267/155,955 = 155,955/x
  3. Step 3: Cross multiply
    108,267x = 155,955 × 155,955
  4. Step 4: Simplify right side
    108,267x = 24,321,962,025
  5. Step 5: Solve for x
    x = 24,321,962,025/108,267
  6. Step 6: Final answer
    x = 224,647.97

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.