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Finding the Third Proportional to 96,217 and 143,299

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Solution

The third proportional to 96,217 and 143,299 is: 213,419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,217 : 143,299 = 143,299 : x
  2. Step 2: Convert to fraction form
    96,217/143,299 = 143,299/x
  3. Step 3: Cross multiply
    96,217x = 143,299 × 143,299
  4. Step 4: Simplify right side
    96,217x = 20,534,603,401
  5. Step 5: Solve for x
    x = 20,534,603,401/96,217
  6. Step 6: Final answer
    x = 213,419.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.