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Finding the Third Proportional to 108,261 and 155,945.25

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Solution

The third proportional to 108,261 and 155,945.25 is: 224,632.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,261 : 155,945.25 = 155,945.25 : x
  2. Step 2: Convert to fraction form
    108,261/155,945.25 = 155,945.25/x
  3. Step 3: Cross multiply
    108,261x = 155,945.25 × 155,945.25
  4. Step 4: Simplify right side
    108,261x = 24,318,920,997.56
  5. Step 5: Solve for x
    x = 24,318,920,997.56/108,261
  6. Step 6: Final answer
    x = 224,632.33

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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.