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Finding the Third Proportional to 111,073 and 243,761

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Solution

The third proportional to 111,073 and 243,761 is: 534,958.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,073 : 243,761 = 243,761 : x
  2. Step 2: Convert to fraction form
    111,073/243,761 = 243,761/x
  3. Step 3: Cross multiply
    111,073x = 243,761 × 243,761
  4. Step 4: Simplify right side
    111,073x = 59,419,425,121
  5. Step 5: Solve for x
    x = 59,419,425,121/111,073
  6. Step 6: Final answer
    x = 534,958.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.