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Finding the Third Proportional to 103,683 and 140,690

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Solution

The third proportional to 103,683 and 140,690 is: 190,905.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,683 : 140,690 = 140,690 : x
  2. Step 2: Convert to fraction form
    103,683/140,690 = 140,690/x
  3. Step 3: Cross multiply
    103,683x = 140,690 × 140,690
  4. Step 4: Simplify right side
    103,683x = 19,793,676,100
  5. Step 5: Solve for x
    x = 19,793,676,100/103,683
  6. Step 6: Final answer
    x = 190,905.70

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