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Finding the Third Proportional to 59,676.75 and 131,773.50

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Solution

The third proportional to 59,676.75 and 131,773.50 is: 290,971.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,676.75 : 131,773.50 = 131,773.50 : x
  2. Step 2: Convert to fraction form
    59,676.75/131,773.50 = 131,773.50/x
  3. Step 3: Cross multiply
    59,676.75x = 131,773.50 × 131,773.50
  4. Step 4: Simplify right side
    59,676.75x = 17,364,255,302.25
  5. Step 5: Solve for x
    x = 17,364,255,302.25/59,676.75
  6. Step 6: Final answer
    x = 290,971.87

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.