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Finding the Third Proportional to 139,892.48 and 211,168.27

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Solution

The third proportional to 139,892.48 and 211,168.27 is: 318,759.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,892.48 : 211,168.27 = 211,168.27 : x
  2. Step 2: Convert to fraction form
    139,892.48/211,168.27 = 211,168.27/x
  3. Step 3: Cross multiply
    139,892.48x = 211,168.27 × 211,168.27
  4. Step 4: Simplify right side
    139,892.48x = 44,592,036,407.07
  5. Step 5: Solve for x
    x = 44,592,036,407.07/139,892.48
  6. Step 6: Final answer
    x = 318,759.34

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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.