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Finding the Third Proportional to 92,101.75 and 140,612.99

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Solution

The third proportional to 92,101.75 and 140,612.99 is: 214,675.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,101.75 : 140,612.99 = 140,612.99 : x
  2. Step 2: Convert to fraction form
    92,101.75/140,612.99 = 140,612.99/x
  3. Step 3: Cross multiply
    92,101.75x = 140,612.99 × 140,612.99
  4. Step 4: Simplify right side
    92,101.75x = 19,772,014,121.19
  5. Step 5: Solve for x
    x = 19,772,014,121.19/92,101.75
  6. Step 6: Final answer
    x = 214,675.78

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.