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Finding the Third Proportional to 49,459.50 and 109,593

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Solution

The third proportional to 49,459.50 and 109,593 is: 242,837.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,459.50 : 109,593 = 109,593 : x
  2. Step 2: Convert to fraction form
    49,459.50/109,593 = 109,593/x
  3. Step 3: Cross multiply
    49,459.50x = 109,593 × 109,593
  4. Step 4: Simplify right side
    49,459.50x = 12,010,625,649
  5. Step 5: Solve for x
    x = 12,010,625,649/49,459.50
  6. Step 6: Final answer
    x = 242,837.59

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.