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Finding the Third Proportional to 103,690 and 140,701

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Solution

The third proportional to 103,690 and 140,701 is: 190,922.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,690 : 140,701 = 140,701 : x
  2. Step 2: Convert to fraction form
    103,690/140,701 = 140,701/x
  3. Step 3: Cross multiply
    103,690x = 140,701 × 140,701
  4. Step 4: Simplify right side
    103,690x = 19,796,771,401
  5. Step 5: Solve for x
    x = 19,796,771,401/103,690
  6. Step 6: Final answer
    x = 190,922.67

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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.