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Finding the Third Proportional to 117,027 and 186,242

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Solution

The third proportional to 117,027 and 186,242 is: 296,393.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,027 : 186,242 = 186,242 : x
  2. Step 2: Convert to fraction form
    117,027/186,242 = 186,242/x
  3. Step 3: Cross multiply
    117,027x = 186,242 × 186,242
  4. Step 4: Simplify right side
    117,027x = 34,686,082,564
  5. Step 5: Solve for x
    x = 34,686,082,564/117,027
  6. Step 6: Final answer
    x = 296,393.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.