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Finding the Third Proportional to 86,761.50 and 118,198.50

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Solution

The third proportional to 86,761.50 and 118,198.50 is: 161,026.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,761.50 : 118,198.50 = 118,198.50 : x
  2. Step 2: Convert to fraction form
    86,761.50/118,198.50 = 118,198.50/x
  3. Step 3: Cross multiply
    86,761.50x = 118,198.50 × 118,198.50
  4. Step 4: Simplify right side
    86,761.50x = 13,970,885,402.25
  5. Step 5: Solve for x
    x = 13,970,885,402.25/86,761.50
  6. Step 6: Final answer
    x = 161,026.32

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.