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Finding the Third Proportional to 51,781.50 and 111,735

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Solution

The third proportional to 51,781.50 and 111,735 is: 241,103.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,781.50 : 111,735 = 111,735 : x
  2. Step 2: Convert to fraction form
    51,781.50/111,735 = 111,735/x
  3. Step 3: Cross multiply
    51,781.50x = 111,735 × 111,735
  4. Step 4: Simplify right side
    51,781.50x = 12,484,710,225
  5. Step 5: Solve for x
    x = 12,484,710,225/51,781.50
  6. Step 6: Final answer
    x = 241,103.68

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.