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Finding the Third Proportional to 103,636 and 141,299

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Solution

The third proportional to 103,636 and 141,299 is: 192,649.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,636 : 141,299 = 141,299 : x
  2. Step 2: Convert to fraction form
    103,636/141,299 = 141,299/x
  3. Step 3: Cross multiply
    103,636x = 141,299 × 141,299
  4. Step 4: Simplify right side
    103,636x = 19,965,407,401
  5. Step 5: Solve for x
    x = 19,965,407,401/103,636
  6. Step 6: Final answer
    x = 192,649.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.