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Finding the Third Proportional to 103,697 and 140,711

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Solution

The third proportional to 103,697 and 140,711 is: 190,936.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,697 : 140,711 = 140,711 : x
  2. Step 2: Convert to fraction form
    103,697/140,711 = 140,711/x
  3. Step 3: Cross multiply
    103,697x = 140,711 × 140,711
  4. Step 4: Simplify right side
    103,697x = 19,799,585,521
  5. Step 5: Solve for x
    x = 19,799,585,521/103,697
  6. Step 6: Final answer
    x = 190,936.92

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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.