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Finding the Third Proportional to 59,122.50 and 126,993

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Solution

The third proportional to 59,122.50 and 126,993 is: 272,776.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,122.50 : 126,993 = 126,993 : x
  2. Step 2: Convert to fraction form
    59,122.50/126,993 = 126,993/x
  3. Step 3: Cross multiply
    59,122.50x = 126,993 × 126,993
  4. Step 4: Simplify right side
    59,122.50x = 16,127,222,049
  5. Step 5: Solve for x
    x = 16,127,222,049/59,122.50
  6. Step 6: Final answer
    x = 272,776.39

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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.