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Finding the Third Proportional to 49,909.50 and 109,065

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Solution

The third proportional to 49,909.50 and 109,065 is: 238,334.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,909.50 : 109,065 = 109,065 : x
  2. Step 2: Convert to fraction form
    49,909.50/109,065 = 109,065/x
  3. Step 3: Cross multiply
    49,909.50x = 109,065 × 109,065
  4. Step 4: Simplify right side
    49,909.50x = 11,895,174,225
  5. Step 5: Solve for x
    x = 11,895,174,225/49,909.50
  6. Step 6: Final answer
    x = 238,334.87

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.