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Finding the Third Proportional to 92,199.50 and 139,147

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Solution

The third proportional to 92,199.50 and 139,147 is: 209,999.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,199.50 : 139,147 = 139,147 : x
  2. Step 2: Convert to fraction form
    92,199.50/139,147 = 139,147/x
  3. Step 3: Cross multiply
    92,199.50x = 139,147 × 139,147
  4. Step 4: Simplify right side
    92,199.50x = 19,361,887,609
  5. Step 5: Solve for x
    x = 19,361,887,609/92,199.50
  6. Step 6: Final answer
    x = 209,999.92

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.