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Finding the Third Proportional to 119,024 and 157,962

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Solution

The third proportional to 119,024 and 157,962 is: 209,638.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,024 : 157,962 = 157,962 : x
  2. Step 2: Convert to fraction form
    119,024/157,962 = 157,962/x
  3. Step 3: Cross multiply
    119,024x = 157,962 × 157,962
  4. Step 4: Simplify right side
    119,024x = 24,951,993,444
  5. Step 5: Solve for x
    x = 24,951,993,444/119,024
  6. Step 6: Final answer
    x = 209,638.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.