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Finding the Third Proportional to 69,242 and 113,055

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Solution

The third proportional to 69,242 and 113,055 is: 184,590.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,242 : 113,055 = 113,055 : x
  2. Step 2: Convert to fraction form
    69,242/113,055 = 113,055/x
  3. Step 3: Cross multiply
    69,242x = 113,055 × 113,055
  4. Step 4: Simplify right side
    69,242x = 12,781,433,025
  5. Step 5: Solve for x
    x = 12,781,433,025/69,242
  6. Step 6: Final answer
    x = 184,590.75

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.