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Finding the Third Proportional to 139,988 and 215,166

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Solution

The third proportional to 139,988 and 215,166 is: 330,716.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,988 : 215,166 = 215,166 : x
  2. Step 2: Convert to fraction form
    139,988/215,166 = 215,166/x
  3. Step 3: Cross multiply
    139,988x = 215,166 × 215,166
  4. Step 4: Simplify right side
    139,988x = 46,296,407,556
  5. Step 5: Solve for x
    x = 46,296,407,556/139,988
  6. Step 6: Final answer
    x = 330,716.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.