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Finding the Third Proportional to 61,261.50 and 131,909

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Solution

The third proportional to 61,261.50 and 131,909 is: 284,028.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,261.50 : 131,909 = 131,909 : x
  2. Step 2: Convert to fraction form
    61,261.50/131,909 = 131,909/x
  3. Step 3: Cross multiply
    61,261.50x = 131,909 × 131,909
  4. Step 4: Simplify right side
    61,261.50x = 17,399,984,281
  5. Step 5: Solve for x
    x = 17,399,984,281/61,261.50
  6. Step 6: Final answer
    x = 284,028.05

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.