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Finding the Third Proportional to 41,214 and 88,259

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Solution

The third proportional to 41,214 and 88,259 is: 189,004.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,214 : 88,259 = 88,259 : x
  2. Step 2: Convert to fraction form
    41,214/88,259 = 88,259/x
  3. Step 3: Cross multiply
    41,214x = 88,259 × 88,259
  4. Step 4: Simplify right side
    41,214x = 7,789,651,081
  5. Step 5: Solve for x
    x = 7,789,651,081/41,214
  6. Step 6: Final answer
    x = 189,004.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.