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Finding the Third Proportional to 102,214 and 143,233

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Solution

The third proportional to 102,214 and 143,233 is: 200,713.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,214 : 143,233 = 143,233 : x
  2. Step 2: Convert to fraction form
    102,214/143,233 = 143,233/x
  3. Step 3: Cross multiply
    102,214x = 143,233 × 143,233
  4. Step 4: Simplify right side
    102,214x = 20,515,692,289
  5. Step 5: Solve for x
    x = 20,515,692,289/102,214
  6. Step 6: Final answer
    x = 200,713.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.