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Finding the Third Proportional to 66,371.50 and 110,735

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Solution

The third proportional to 66,371.50 and 110,735 is: 184,751.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,371.50 : 110,735 = 110,735 : x
  2. Step 2: Convert to fraction form
    66,371.50/110,735 = 110,735/x
  3. Step 3: Cross multiply
    66,371.50x = 110,735 × 110,735
  4. Step 4: Simplify right side
    66,371.50x = 12,262,240,225
  5. Step 5: Solve for x
    x = 12,262,240,225/66,371.50
  6. Step 6: Final answer
    x = 184,751.59

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.